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76826893 = 112133172
BaseRepresentation
bin1001001010001…
…00100100001101
312100120012200111
410211010210031
5124131430033
611342400021
71622006053
oct445044415
9170505614
1076826893
113a404200
1221890011
1312bbc000
14a2bc1d3
156b287cd
hex494490d

76826893 has 36 divisors (see below), whose sum is σ = 97177780. Its totient is φ = 60677760.

The previous prime is 76826891. The next prime is 76826903. The reversal of 76826893 is 39862867.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 30614089 + 46212804 = 5533^2 + 6798^2 .

It is not a de Polignac number, because 76826893 - 21 = 76826891 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76826891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4519221 + ... + 4519237.

Almost surely, 276826893 is an apocalyptic number.

It is an amenable number.

76826893 is a deficient number, since it is larger than the sum of its proper divisors (20350887).

76826893 is a wasteful number, since it uses less digits than its factorization.

76826893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 76826893 is about 8765.0951506530. The cubic root of 76826893 is about 425.1130365998.

The spelling of 76826893 in words is "seventy-six million, eight hundred twenty-six thousand, eight hundred ninety-three".

Divisors: 1 11 13 17 121 143 169 187 221 289 1573 1859 2057 2197 2431 2873 3179 3757 20449 24167 26741 31603 34969 37349 41327 48841 265837 347633 410839 454597 537251 634933 4519229 5909761 6984263 76826893