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816075457 = 29431275153
BaseRepresentation
bin110000101001000…
…101001011000001
32002212120221001221
4300221011023001
53132403403312
6212551155041
726136345511
oct6051051301
92085527057
10816075457
1138972062a
121a9375a81
131000c0bb2
147a551841
154b9a0207
hex30a452c1

816075457 has 16 divisors (see below), whose sum is σ = 870819840. Its totient is φ = 763402752.

The previous prime is 816075437. The next prime is 816075473. The reversal of 816075457 is 754570618.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-816075457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (816075437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155793 + ... + 160945.

It is an arithmetic number, because the mean of its divisors is an integer number (54426240).

It is a Poulet number, since it divides 2816075456-1.

Almost surely, 2816075457 is an apocalyptic number.

It is an amenable number.

816075457 is a deficient number, since it is larger than the sum of its proper divisors (54744383).

816075457 is a wasteful number, since it uses less digits than its factorization.

816075457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352.

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 816075457 is about 28567.0344453183. The cubic root of 816075457 is about 934.4945486974.

The spelling of 816075457 in words is "eight hundred sixteen million, seventy-five thousand, four hundred fifty-seven".

Divisors: 1 29 43 127 1247 3683 5153 5461 149437 158369 221579 654431 6425791 18978499 28140533 816075457