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235136408 = 231329531471
BaseRepresentation
bin11100000001111…
…10010110011000
3121101110011111212
432000332112120
5440143331113
635155442252
75553424613
oct1600762630
9541404455
10235136408
11110801511
12668b6388
133993a190
142332b17a
151599a0a8
hexe03e598

235136408 has 64 divisors (see below), whose sum is σ = 500774400. Its totient is φ = 102735360.

The previous prime is 235136393. The next prime is 235136413. The reversal of 235136408 is 804631532.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 159113 + ... + 160583.

It is an arithmetic number, because the mean of its divisors is an integer number (7824600).

Almost surely, 2235136408 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 235136408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387200).

235136408 is an abundant number, since it is smaller than the sum of its proper divisors (265637992).

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

235136408 is a wasteful number, since it uses less digits than its factorization.

235136408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 235136408 is about 15334.1582096964. The cubic root of 235136408 is about 617.2199568293.

The spelling of 235136408 in words is "two hundred thirty-five million, one hundred thirty-six thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 29 52 53 58 104 106 116 212 232 377 424 689 754 1378 1471 1508 1537 2756 2942 3016 3074 5512 5884 6148 11768 12296 19123 19981 38246 39962 42659 76492 77963 79924 85318 152984 155926 159848 170636 311852 341272 554567 623704 1013519 1109134 2027038 2218268 2260927 4054076 4436536 4521854 8108152 9043708 18087416 29392051 58784102 117568204 235136408