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5904294444 = 223528121617
BaseRepresentation
bin1010111111110110…
…00110001000101100
3120020110222020100000
411133323012020230
544042444410234
62413513304300
7266212450266
oct53773061054
916213866300
105904294444
11255a902894
121189405090
137312c9b69
14400218b36
15248530899
hex15fec622c

5904294444 has 72 divisors (see below), whose sum is σ = 15533311248. Its totient is φ = 1961003520.

The previous prime is 5904294437. The next prime is 5904294449. The reversal of 5904294444 is 4444924095.

It is a self number, because there is not a number n which added to its sum of digits gives 5904294444.

It is not an unprimeable number, because it can be changed into a prime (5904294449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262324 + ... + 283940.

It is an arithmetic number, because the mean of its divisors is an integer number (215740434).

Almost surely, 25904294444 is an apocalyptic number.

5904294444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5904294444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766655624).

5904294444 is an abundant number, since it is smaller than the sum of its proper divisors (9629016804).

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

5904294444 is a wasteful number, since it uses less digits than its factorization.

5904294444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21917 (or 21903 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5904294444 is about 76839.4068431036. The cubic root of 5904294444 is about 1807.4071769277.

The spelling of 5904294444 in words is "five billion, nine hundred four million, two hundred ninety-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 281 324 486 562 843 972 1124 1686 2529 3372 5058 7587 10116 15174 21617 22761 30348 43234 45522 64851 68283 86468 91044 129702 136566 194553 259404 273132 389106 583659 778212 1167318 1750977 2334636 3501954 5252931 6074377 7003908 10505862 12148754 18223131 21011724 24297508 36446262 54669393 72892524 109338786 164008179 218677572 328016358 492024537 656032716 984049074 1476073611 1968098148 2952147222 5904294444