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2504122404 = 22371910315233
BaseRepresentation
bin1001010101000001…
…1110000000100100
320110111221121011020
42111100132000210
520112023404104
61052252011140
7116024455260
oct22520360044
96414847136
102504122404
11107556a253
1259a760ab0
1330ba43944
1419a8050a0
15e9c922d9
hex9541e024

2504122404 has 96 divisors (see below), whose sum is σ = 7097825280. Its totient is φ = 671182848.

The previous prime is 2504122403. The next prime is 2504122409. The reversal of 2504122404 is 4042214052.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2504122403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156772 + ... + 172004.

It is an arithmetic number, because the mean of its divisors is an integer number (73935680).

Almost surely, 22504122404 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 2504122404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548912640).

2504122404 is an abundant number, since it is smaller than the sum of its proper divisors (4593702876).

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

2504122404 is a wasteful number, since it uses less digits than its factorization.

2504122404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15369 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2504122404 is about 50041.2070597822. The cubic root of 2504122404 is about 1357.9543937030.

Adding to 2504122404 its reverse (4042214052), we get a palindrome (6546336456).

The spelling of 2504122404 in words is "two billion, five hundred four million, one hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 103 114 133 206 228 266 309 399 412 532 618 721 798 1236 1442 1596 1957 2163 2884 3914 4326 5871 7828 8652 11742 13699 15233 23484 27398 30466 41097 45699 54796 60932 82194 91398 106631 164388 182796 213262 289427 319893 426524 578854 639786 868281 1157708 1279572 1568999 1736562 2025989 3137998 3473124 4051978 4706997 6077967 6275996 8103956 9413994 10982993 12155934 18827988 21965986 24311868 29810981 32948979 43931972 59621962 65897958 89432943 119243924 131795916 178865886 208676867 357731772 417353734 626030601 834707468 1252061202 2504122404