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1054050504 = 233137346279
BaseRepresentation
bin111110110100111…
…000100011001000
32201110101022110120
4332310320203020
54124314104004
6252331543240
735056165353
oct7664704310
92643338416
101054050504
114a0a90821
12254bbab20
1313a4b3130
149ddbb29a
156280b3d9
hex3ed388c8

1054050504 has 64 divisors (see below), whose sum is σ = 2876764800. Its totient is φ = 319873536.

The previous prime is 1054050493. The next prime is 1054050511. The reversal of 1054050504 is 4050504501.

1054050504 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 2×10540505042 = 2222044929965308032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 45915.

It is an arithmetic number, because the mean of its divisors is an integer number (44949450).

Almost surely, 21054050504 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 1054050504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438382400).

1054050504 is an abundant number, since it is smaller than the sum of its proper divisors (1822714296).

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

1054050504 is a wasteful number, since it uses less digits than its factorization.

1054050504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46374 (or 46370 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 1054050504 is about 32466.1439656760. The cubic root of 1054050504 is about 1017.7016377630.

The spelling of 1054050504 in words is "one billion, fifty-four million, fifty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3796 5694 7592 11388 22776 46279 92558 138837 185116 277674 370232 555348 601627 1110696 1203254 1804881 2406508 3378367 3609762 4813016 6756734 7219524 10135101 13513468 14439048 20270202 27026936 40540404 43918771 81080808 87837542 131756313 175675084 263512626 351350168 527025252 1054050504