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4625424 = 24344383
BaseRepresentation
bin10001101001010000010000
322200222220000
4101221100100
52141003144
6243050000
754213126
oct21512020
98628800
104625424
11267a171
121670900
13c5c44b
14885916
15615769
hex469410

4625424 has 100 divisors (see below), whose sum is σ = 13863696. Its totient is φ = 1487808.

The previous prime is 4625393. The next prime is 4625431. The reversal of 4625424 is 4245264.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55687 + ... + 55769.

Almost surely, 24625424 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 4625424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931848).

4625424 is an abundant number, since it is smaller than the sum of its proper divisors (9238272).

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

4625424 is a wasteful number, since it uses less digits than its factorization.

4625424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 4625424 is about 2150.6798924991. The cubic root of 4625424 is about 166.6161838215.

It can be divided in two parts, 462 and 5424, that added together give a triangular number (5886 = T108).

The spelling of 4625424 in words is "four million, six hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 83 86 108 129 144 162 166 172 216 249 258 324 332 344 387 432 498 516 648 664 688 747 774 996 1032 1161 1296 1328 1494 1548 1992 2064 2241 2322 2988 3096 3483 3569 3984 4482 4644 5976 6192 6723 6966 7138 8964 9288 10707 11952 13446 13932 14276 17928 18576 21414 26892 27864 28552 32121 35856 42828 53784 55728 57104 64242 85656 96363 107568 128484 171312 192726 256968 289089 385452 513936 578178 770904 1156356 1541808 2312712 4625424