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88675314 = 237133312
BaseRepresentation
bin1010100100100…
…01001111110010
320011212011122220
411102101033302
5140200102224
612444341510
72124504420
oct522211762
9204764586
1088675314
1146067092
1225844896
13154aa000
14bac4110
157bb9279
hex54913f2

88675314 has 96 divisors (see below), whose sum is σ = 226880640. Its totient is φ = 22632480.

The previous prime is 88675313. The next prime is 88675319. The reversal of 88675314 is 41357688.

It is a super-2 number, since 2×886753142 = 15726622625997192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (161280) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88675313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2860479 + ... + 2860509.

It is an arithmetic number, because the mean of its divisors is an integer number (2363340).

Almost surely, 288675314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88675314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113440320).

88675314 is an abundant number, since it is smaller than the sum of its proper divisors (138205326).

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

88675314 is a wasteful number, since it uses less digits than its factorization.

88675314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 56 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 88675314 is about 9416.7570851116. The cubic root of 88675314 is about 445.9309115636.

The spelling of 88675314 in words is "eighty-eight million, six hundred seventy-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 169 182 186 217 273 338 403 434 507 546 651 806 961 1014 1183 1209 1302 1922 2197 2366 2418 2821 2883 3549 4394 5239 5642 5766 6591 6727 7098 8463 10478 12493 13182 13454 15379 15717 16926 20181 24986 30758 31434 36673 37479 40362 46137 68107 73346 74958 87451 92274 110019 136214 162409 174902 204321 220038 262353 324818 408642 476749 487227 524706 953498 974454 1136863 1430247 2111317 2273726 2860494 3410589 4222634 6333951 6821178 12667902 14779219 29558438 44337657 88675314