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1042853796 = 2232131251881
BaseRepresentation
bin111110001010001…
…010111110100100
32200200022110110200
4332022022332210
54113432310141
6251251550500
734562053035
oct7612127644
92620273420
101042853796
11495733546
122512bb430
1313809296a
149c704a8c
1561848ab6
hex3e28afa4

1042853796 has 72 divisors (see below), whose sum is σ = 2669835168. Its totient is φ = 343200000.

The previous prime is 1042853789. The next prime is 1042853803. The reversal of 1042853796 is 6973582401.

1042853796 is a `hidden beast` number, since 1 + 0 + 4 + 28 + 537 + 96 = 666.

1042853796 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042853789) and next prime (1042853803).

1042853796 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183276 + ... + 1184156.

It is an arithmetic number, because the mean of its divisors is an integer number (37081044).

It is a 1-persistent number, because it is pandigital, but 2⋅1042853796 = 2085707592 is not.

It is a vampire number, since it can be written as 1057298643 (with its own digits).

Almost surely, 21042853796 is an apocalyptic number.

It is an amenable number.

1042853796 is an abundant number, since it is smaller than the sum of its proper divisors (1626981372).

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

1042853796 is a wasteful number, since it uses less digits than its factorization.

1042853796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1042853796 is about 32293.2469101514. The cubic root of 1042853796 is about 1014.0852722892.

The spelling of 1042853796 in words is "one billion, forty-two million, eight hundred fifty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 131 251 262 393 502 524 753 786 881 1004 1179 1506 1572 1762 2259 2358 2643 3012 3524 4518 4716 5286 7929 9036 10572 15858 31716 32881 65762 98643 115411 131524 197286 221131 230822 295929 346233 394572 442262 461644 591858 663393 692466 884524 1038699 1183716 1326786 1384932 1990179 2077398 2653572 3980358 4154796 7960716 28968161 57936322 86904483 115872644 173808966 260713449 347617932 521426898 1042853796