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857034752 = 212771421
BaseRepresentation
bin110011000101010…
…101000000000000
32012201122212122212
4303011111000000
53223400103002
6221013121252
730144450410
oct6305250000
92181585585
10857034752
113aa856992
121bb029228
13108732272
1481b74640
1550391352
hex33155000

857034752 has 104 divisors (see below), whose sum is σ = 1991002752. Its totient is φ = 361267200.

The previous prime is 857034743. The next prime is 857034757. The reversal of 857034752 is 257430758.

It is a super-2 number, since 2×8570347522 = 1469017132271403008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857034757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2035502 + ... + 2035922.

Almost surely, 2857034752 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 857034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995501376).

857034752 is an abundant number, since it is smaller than the sum of its proper divisors (1133968000).

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

857034752 is an equidigital number, since it uses as much as digits as its factorization.

857034752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 857034752 is about 29275.1558834449. The cubic root of 857034752 is about 949.8743146745.

The spelling of 857034752 in words is "eight hundred fifty-seven million, thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 284 421 448 497 512 568 842 896 994 1024 1136 1684 1792 1988 2048 2272 2947 3368 3584 3976 4096 4544 5894 6736 7168 7952 9088 11788 13472 14336 15904 18176 23576 26944 28672 29891 31808 36352 47152 53888 59782 63616 72704 94304 107776 119564 127232 145408 188608 209237 215552 239128 254464 290816 377216 418474 431104 478256 508928 754432 836948 862208 956512 1017856 1508864 1673896 1724416 1913024 2035712 3017728 3347792 3826048 6035456 6695584 7652096 12070912 13391168 15304192 26782336 30608384 53564672 61216768 107129344 122433536 214258688 428517376 857034752