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2957245920 = 253252053643
BaseRepresentation
bin1011000001000011…
…1111110111100000
321122002120122202200
42300100333313200
522024023332140
61205240013200
7133166114136
oct26020776740
97562518680
102957245920
1112883196a2
126a6461200
13381895275
14200a77756
1512494b030
hexb043fde0

2957245920 has 72 divisors (see below), whose sum is σ = 10091606616. Its totient is φ = 788598528.

The previous prime is 2957245873. The next prime is 2957245943. The reversal of 2957245920 is 295427592.

2957245920 is a `hidden beast` number, since 2 + 9 + 57 + 2 + 4 + 592 + 0 = 666.

2957245920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1025382 + ... + 1028261.

It is an arithmetic number, because the mean of its divisors is an integer number (140161203).

Almost surely, 22957245920 is an apocalyptic number.

2957245920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2957245920 is an abundant number, since it is smaller than the sum of its proper divisors (7134360696).

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

2957245920 is a wasteful number, since it uses less digits than its factorization.

2957245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053664 (or 2053653 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2957245920 is about 54380.5656461939. The cubic root of 2957245920 is about 1435.3654238989.

The spelling of 2957245920 in words is "two billion, nine hundred fifty-seven million, two hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2053643 4107286 6160929 8214572 10268215 12321858 16429144 18482787 20536430 24643716 30804645 32858288 36965574 41072860 49287432 61609290 65716576 73931148 82145720 92413935 98574864 123218580 147862296 164291440 184827870 197149728 246437160 295724592 328582880 369655740 492874320 591449184 739311480 985748640 1478622960 2957245920