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857574240 = 25351786613
BaseRepresentation
bin110011000111011…
…000101101100000
32012202200021200220
4303013120231200
53224014333430
6221032443040
730152155305
oct6307305540
92182607626
10857574240
11400095246
121bb249480
131088909a3
1481c750ac
155044b110
hex331d8b60

857574240 has 48 divisors (see below), whose sum is σ = 2701360368. Its totient is φ = 228686336.

The previous prime is 857574233. The next prime is 857574259. The reversal of 857574240 is 42475758.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×8575742402 = 1470867154223155200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 857574192 and 857574201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892827 + ... + 893786.

It is an arithmetic number, because the mean of its divisors is an integer number (56278341).

Almost surely, 2857574240 is an apocalyptic number.

857574240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

857574240 is an abundant number, since it is smaller than the sum of its proper divisors (1843786128).

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

857574240 is a wasteful number, since it uses less digits than its factorization.

857574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786631 (or 1786623 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 857574240 is about 29284.3685265706. The cubic root of 857574240 is about 950.0735824815.

The spelling of 857574240 in words is "eight hundred fifty-seven million, five hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1786613 3573226 5359839 7146452 8933065 10719678 14292904 17866130 21439356 26799195 28585808 35732260 42878712 53598390 57171616 71464520 85757424 107196780 142929040 171514848 214393560 285858080 428787120 857574240