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904980804 = 223731321301
BaseRepresentation
bin110101111100001…
…110100101000100
32100001212210021120
4311330032211010
53323133341204
6225444513540
731266132000
oct6574164504
92301783246
10904980804
11424924522
122130ab8b0
1311564b800
1488295700
15546b26d9
hex35f0e944

904980804 has 144 divisors (see below), whose sum is σ = 2668579200. Its totient is φ = 238492800.

The previous prime is 904980761. The next prime is 904980821. The reversal of 904980804 is 408089409.

904980804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694954 + ... + 696254.

It is an arithmetic number, because the mean of its divisors is an integer number (18531800).

Almost surely, 2904980804 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 904980804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334289600).

904980804 is an abundant number, since it is smaller than the sum of its proper divisors (1763598396).

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

904980804 is a wasteful number, since it uses less digits than its factorization.

904980804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 904980804 is about 30082.8988629753. The cubic root of 904980804 is about 967.2671880716.

It can be divided in two parts, 90 and 4980804, that added together give a palindrome (4980894).

The spelling of 904980804 in words is "nine hundred four million, nine hundred eighty thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 343 364 507 546 588 637 676 686 1014 1029 1092 1183 1274 1301 1372 1911 2028 2058 2366 2548 2602 3549 3822 3903 4116 4459 4732 5204 7098 7644 7806 8281 8918 9107 13377 14196 15612 16562 16913 17836 18214 24843 26754 27321 33124 33826 36428 49686 50739 53508 54642 57967 63749 67652 99372 101478 109284 115934 118391 127498 173901 191247 202956 219869 231868 236782 254996 347802 355173 382494 439738 446243 473564 659607 695604 710346 764988 828737 879476 892486 1319214 1338729 1420692 1539083 1657474 1784972 2486211 2638428 2677458 3078166 3314948 4617249 4972422 5354916 5801159 6156332 9234498 9944844 10773581 11602318 17403477 18468996 21547162 23204636 32320743 34806954 43094324 64641486 69613908 75415067 129282972 150830134 226245201 301660268 452490402 904980804