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2504463324 = 22311217241421
BaseRepresentation
bin1001010101000111…
…0001001111011100
320110112120220210220
42111101301033130
520112120311244
61052303201340
7116030405226
oct22521611734
96415526726
102504463324
111075782400
1259a8a6250
1330bb32b7c
1419a893416
15e9d0d319
hex954713dc

2504463324 has 144 divisors (see below), whose sum is σ = 6845575968. Its totient is φ = 709632000.

The previous prime is 2504463323. The next prime is 2504463337. The reversal of 2504463324 is 4233644052.

2504463324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25044633242 = 12544673082522257952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504463323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5948634 + ... + 5949054.

It is an arithmetic number, because the mean of its divisors is an integer number (47538722).

Almost surely, 22504463324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504463324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422787984).

2504463324 is an abundant number, since it is smaller than the sum of its proper divisors (4341112644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2504463324 is a wasteful number, since it uses less digits than its factorization.

2504463324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 2504463324 is about 50044.6133365021. The cubic root of 2504463324 is about 1358.0160164633.

The spelling of 2504463324 in words is "two billion, five hundred four million, four hundred sixty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 241 242 363 374 421 482 484 561 723 726 748 842 964 1122 1263 1446 1452 1684 2057 2244 2526 2651 2892 4097 4114 4631 5052 5302 6171 7157 7953 8194 8228 9262 10604 12291 12342 13893 14314 15906 16388 18524 21471 24582 24684 27786 28628 29161 31812 42942 45067 49164 50941 55572 58322 78727 85884 87483 90134 101461 101882 116644 135201 152823 157454 174966 180268 202922 203764 236181 270402 304383 305646 314908 349932 405844 472362 495737 540804 608766 611292 865997 944724 991474 1116071 1217532 1487211 1724837 1731994 1982948 2232142 2597991 2974422 3348213 3449674 3463988 4464284 5174511 5195982 5948844 6696426 6899348 10349022 10391964 12276781 13392852 18973207 20698044 24553562 36830343 37946414 49107124 56919621 73660686 75892828 113839242 147321372 208705277 227678484 417410554 626115831 834821108 1252231662 2504463324