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93402816 = 26313231627
BaseRepresentation
bin1011001000100…
…11011011000000
320111202100120120
411210103123000
5142402342231
613133540240
72212624263
oct544233300
9214670516
1093402816
11487a5a11
1227344680
1316473a50
14c594cda
1582eed96
hex59136c0

93402816 has 112 divisors (see below), whose sum is σ = 277880064. Its totient is φ = 27472896.

The previous prime is 93402809. The next prime is 93402817. The reversal of 93402816 is 61820439.

It is not an unprimeable number, because it can be changed into a prime (93402817) 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, 56595 + ... + 58221.

It is an arithmetic number, because the mean of its divisors is an integer number (2481072).

Almost surely, 293402816 is an apocalyptic number.

93402816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138940032).

93402816 is an abundant number, since it is smaller than the sum of its proper divisors (184477248).

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

93402816 is a wasteful number, since it uses less digits than its factorization.

93402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 93402816 is about 9664.5132314049. The cubic root of 93402816 is about 453.7186765861.

The spelling of 93402816 in words is "ninety-three million, four hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1104 1196 1248 1472 1627 1794 2208 2392 2496 3254 3588 4416 4784 4881 6508 7176 9568 9762 13016 14352 19136 19524 21151 26032 28704 37421 39048 42302 52064 57408 63453 74842 78096 84604 104128 112263 126906 149684 156192 169208 224526 253812 299368 312384 338416 449052 486473 507624 598736 676832 898104 972946 1015248 1197472 1353664 1459419 1796208 1945892 2030496 2394944 2918838 3592416 3891784 4060992 5837676 7184832 7783568 11675352 15567136 23350704 31134272 46701408 93402816