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1457196912 = 243331233467
BaseRepresentation
bin101011011011011…
…0000111101110000
310202112222021101000
41112312300331300
510441020300122
6400332442000
751052653333
oct12666607560
93675867330
101457196912
11688605676
12348019300
131a2b868c2
14db76061a
1587de20ac
hex56db0f70

1457196912 has 160 divisors (see below), whose sum is σ = 4345436160. Its totient is φ = 467043840.

The previous prime is 1457196907. The next prime is 1457196919. The reversal of 1457196912 is 2196917541.

1457196912 is a `hidden beast` number, since 1 + 4 + 571 + 9 + 69 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457196919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3120103 + ... + 3120569.

It is an arithmetic number, because the mean of its divisors is an integer number (27158976).

Almost surely, 21457196912 is an apocalyptic number.

1457196912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457196912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172718080).

1457196912 is an abundant number, since it is smaller than the sum of its proper divisors (2888239248).

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

1457196912 is a wasteful number, since it uses less digits than its factorization.

1457196912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1457196912 is about 38173.2486435200. The cubic root of 1457196912 is about 1133.7207117141.

The spelling of 1457196912 in words is "one billion, four hundred fifty-seven million, one hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 233 248 279 372 432 466 467 496 558 699 744 837 932 934 1116 1398 1401 1488 1674 1864 1868 2097 2232 2796 2802 3348 3728 3736 4194 4203 4464 5592 5604 6291 6696 7223 7472 8388 8406 11184 11208 12582 12609 13392 14446 14477 16776 16812 21669 22416 25164 25218 28892 28954 33552 33624 43338 43431 50328 50436 57784 57908 65007 67248 86676 86862 100656 100872 108811 115568 115816 130014 130293 173352 173724 195021 201744 217622 231632 260028 260586 326433 346704 347448 390042 390879 435244 520056 521172 652866 694896 780084 781758 870488 979299 1040112 1042344 1305732 1560168 1563516 1740976 1958598 2084688 2611464 2937897 3120336 3127032 3373141 3917196 5222928 5875794 6254064 6746282 7834392 10119423 11751588 13492564 15668784 20238846 23503176 26985128 30358269 40477692 47006352 53970256 60716538 80955384 91074807 121433076 161910768 182149614 242866152 364299228 485732304 728598456 1457196912