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68574432 = 2531734129
BaseRepresentation
bin1000001011001…
…01110011100000
311210000221102210
410011211303200
5120023340212
610445442120
71461605313
oct405456340
9153027383
1068574432
1135787a93
121ab70340
131128c9b4
14917097a
15604853c
hex4165ce0

68574432 has 48 divisors (see below), whose sum is σ = 181092240. Its totient is φ = 22720512.

The previous prime is 68574403. The next prime is 68574469. The reversal of 68574432 is 23447586.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14544 + ... + 18672.

It is an arithmetic number, because the mean of its divisors is an integer number (3772755).

Almost surely, 268574432 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 68574432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90546120).

68574432 is an abundant number, since it is smaller than the sum of its proper divisors (112517808).

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

68574432 is a wasteful number, since it uses less digits than its factorization.

68574432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4307 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 68574432 is about 8280.9680593515. The cubic root of 68574432 is about 409.3116190127.

It can be divided in two parts, 68574 and 432, that added together give a triangular number (69006 = T371).

The spelling of 68574432 in words is "sixty-eight million, five hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4129 4152 5536 8258 8304 12387 16516 16608 24774 33032 49548 66064 99096 132128 198192 396384 714317 1428634 2142951 2857268 4285902 5714536 8571804 11429072 17143608 22858144 34287216 68574432