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235381608 = 233271142457
BaseRepresentation
bin11100000011110…
…10001101101000
3121101220121212100
432001322031220
5440224202413
635205013400
75555465520
oct1601721550
9541817770
10235381608
11110959760
12669b4260
13399c4977
1423392680
15159e7a73
hexe07a368

235381608 has 96 divisors (see below), whose sum is σ = 794813760. Its totient is φ = 61136640.

The previous prime is 235381589. The next prime is 235381637. The reversal of 235381608 is 806183532.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15685 + ... + 26772.

It is an arithmetic number, because the mean of its divisors is an integer number (8279310).

Almost surely, 2235381608 is an apocalyptic number.

235381608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

235381608 is an abundant number, since it is smaller than the sum of its proper divisors (559432152).

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

235381608 is a wasteful number, since it uses less digits than its factorization.

235381608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42487 (or 42480 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 235381608 is about 15342.1513484909. The cubic root of 235381608 is about 617.4344277380.

The spelling of 235381608 in words is "two hundred thirty-five million, three hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 42457 84914 127371 169828 254742 297199 339656 382113 467027 509484 594398 764226 891597 934054 1018968 1188796 1401081 1528452 1783194 1868108 2377592 2674791 2802162 3056904 3269189 3566388 3736216 4203243 5349582 5604324 6538378 7132776 8406486 9807567 10699164 11208648 13076756 16812972 19615134 21398328 26153512 29422701 33625944 39230268 58845402 78460536 117690804 235381608