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1457878912 = 2773173719
BaseRepresentation
bin101011011100101…
…0111011110000000
310202121020220220021
41112321113132000
510441204111122
6400355223224
751061523560
oct12671273600
93677226807
101457878912
11688a31006
123482a7b14
131a3065159
14db89ada0
1587ec91c7
hex56e57780

1457878912 has 128 divisors (see below), whose sum is σ = 3478118400. Its totient is φ = 595537920.

The previous prime is 1457878841. The next prime is 1457878927. The reversal of 1457878912 is 2198787541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1457878912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2027289 + ... + 2028007.

It is an arithmetic number, because the mean of its divisors is an integer number (27172800).

Almost surely, 21457878912 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 1457878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739059200).

1457878912 is an abundant number, since it is smaller than the sum of its proper divisors (2020239488).

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

1457878912 is an equidigital number, since it uses as much as digits as its factorization.

1457878912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 52.

The square root of 1457878912 is about 38182.1805558562. The cubic root of 1457878912 is about 1133.8975528182.

The spelling of 1457878912 in words is "one billion, four hundred fifty-seven million, eight hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 73 112 124 128 146 217 224 248 292 434 448 496 511 584 719 868 896 992 1022 1168 1438 1736 1984 2044 2263 2336 2876 3472 3968 4088 4526 4672 5033 5752 6944 8176 9052 9344 10066 11504 13888 15841 16352 18104 20132 22289 23008 27776 31682 32704 36208 40264 44578 46016 52487 63364 65408 72416 80528 89156 92032 104974 126728 144832 156023 161056 178312 209948 253456 289664 312046 322112 356624 367409 419896 506912 624092 644224 713248 734818 839792 1013824 1248184 1426496 1469636 1627097 1679584 2027648 2496368 2852992 2939272 3254194 3359168 4992736 5878544 6508388 6718336 9985472 11389679 11757088 13016776 19970944 22779358 23514176 26033552 45558716 47028352 52067104 91117432 104134208 182234864 208268416 364469728 728939456 1457878912