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816057437 = 1373859913
BaseRepresentation
bin110000101001000…
…000110001011101
32002212120000100112
4300221000301131
53132402314222
6212550535405
726136242126
oct6051006135
92085500315
10816057437
11389709038
121a9367565
131000b5930
147a54904d
154b999be2
hex30a40c5d

816057437 has 8 divisors (see below), whose sum is σ = 890870904. Its totient is φ = 742963968.

The previous prime is 816057427. The next prime is 816057449. The reversal of 816057437 is 734750618.

It can be written as a sum of positive squares in 4 ways, for example, as 1012036 + 815045401 = 1006^2 + 28549^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 816057437 - 24 = 816057421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 816057394 and 816057403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816057427) 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, 429008 + ... + 430905.

It is an arithmetic number, because the mean of its divisors is an integer number (111358863).

Almost surely, 2816057437 is an apocalyptic number.

It is an amenable number.

816057437 is a deficient number, since it is larger than the sum of its proper divisors (74813467).

816057437 is a wasteful number, since it uses less digits than its factorization.

816057437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859999.

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 816057437 is about 28566.7190450706. The cubic root of 816057437 is about 934.4876703646.

The spelling of 816057437 in words is "eight hundred sixteen million, fifty-seven thousand, four hundred thirty-seven".

Divisors: 1 13 73 949 859913 11178869 62773649 816057437