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93874014 = 232133112941
BaseRepresentation
bin1011001100001…
…10011101011110
320112122021221100
411212012131132
5143012432024
613152013530
72216626113
oct546063536
9215567840
1093874014
1148a97a33
12275312a6
13165aa370
14c67890a
1583947c9
hex598675e

93874014 has 48 divisors (see below), whose sum is σ = 226122624. Its totient is φ = 27950400.

The previous prime is 93874013. The next prime is 93874019. The reversal of 93874014 is 41047839.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 93874014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93874013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (4710888).

Almost surely, 293874014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93874014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113061312).

93874014 is an abundant number, since it is smaller than the sum of its proper divisors (132248610).

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

93874014 is a wasteful number, since it uses less digits than its factorization.

93874014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 93874014 is about 9688.8603044940. The cubic root of 93874014 is about 454.4803696314.

The spelling of 93874014 in words is "ninety-three million, eight hundred seventy-four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 12941 25882 38823 77646 116469 168233 232938 336466 401171 504699 802342 1009398 1203513 1514097 2407026 3028194 3610539 5215223 7221078 10430446 15645669 31291338 46937007 93874014