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93680672 = 25292592
BaseRepresentation
bin1011001010101…
…11010000100000
320112021110201112
411211113100200
5142440240142
613143522452
72215162331
oct545272040
9215243645
1093680672
1148975748
1227459428
1316540367
14c628288
158357382
hex5957420

93680672 has 54 divisors (see below), whose sum is σ = 194305293. Its totient is φ = 44458624.

The previous prime is 93680669. The next prime is 93680677. The reversal of 93680672 is 27608639.

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 2 ways, for example, as 93624976 + 55696 = 9676^2 + 236^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6844.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93680677) 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 8 ways as a sum of consecutive naturals, for example, 1587779 + ... + 1587837.

Almost surely, 293680672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93680672

93680672 is an abundant number, since it is smaller than the sum of its proper divisors (100624621).

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

93680672 is an equidigital number, since it uses as much as digits as its factorization.

93680672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 93680672 is about 9678.8776208815. The cubic root of 93680672 is about 454.1681407391.

The spelling of 93680672 in words is "ninety-three million, six hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 232 236 464 472 841 928 944 1682 1711 1888 3364 3422 3481 6728 6844 6962 13456 13688 13924 26912 27376 27848 49619 54752 55696 99238 100949 111392 198476 201898 396952 403796 793904 807592 1587808 1615184 2927521 3230368 5855042 11710084 23420168 46840336 93680672