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1457323956 = 2232113680111
BaseRepresentation
bin101011011011100…
…1111111110110100
310202120012201122100
41112313033332310
510441033331311
6400335302100
751054022614
oct12667177664
93676181570
101457323956
11688692070
1234807a930
131a2bcc68a
14db794a44
1587e19a56
hex56dcffb4

1457323956 has 36 divisors (see below), whose sum is σ = 4018682304. Its totient is φ = 441613200.

The previous prime is 1457323951. The next prime is 1457323991. The reversal of 1457323956 is 6593237541.

1457323956 is a `hidden beast` number, since 1 + 4 + 573 + 23 + 9 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×14573239562 = 4247586225462979872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457323951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839660 + ... + 1840451.

It is an arithmetic number, because the mean of its divisors is an integer number (111630064).

Almost surely, 21457323956 is an apocalyptic number.

It is an amenable number.

1457323956 is an abundant number, since it is smaller than the sum of its proper divisors (2561358348).

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

1457323956 is a wasteful number, since it uses less digits than its factorization.

1457323956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680132 (or 3680127 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 1457323956 is about 38174.9126521594. The cubic root of 1457323956 is about 1133.7536581259.

Subtracting from 1457323956 its product of digits (680400), we obtain a square (1456643556 = 381662).

The spelling of 1457323956 in words is "one billion, four hundred fifty-seven million, three hundred twenty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3680111 7360222 11040333 14720444 22080666 33120999 40481221 44161332 66241998 80962442 121443663 132483996 161924884 242887326 364330989 485774652 728661978 1457323956