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64374048 = 253374507
BaseRepresentation
bin1111010110010…
…0010100100000
311111010112121000
43311210110200
5112434432143
610215432000
71411112304
oct365442440
9144115530
1064374048
11333791a2
1219685600
131044bb6b
148799d04
1559b8bd3
hex3d64520

64374048 has 48 divisors (see below), whose sum is σ = 187760160. Its totient is φ = 21457728.

The previous prime is 64374047. The next prime is 64374061. The reversal of 64374048 is 84047346.

64374048 is a `hidden beast` number, since 643 + 7 + 4 + 0 + 4 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (64374041) by changing a digit.

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, 36390 + ... + 38117.

It is an arithmetic number, because the mean of its divisors is an integer number (3911670).

Almost surely, 264374048 is an apocalyptic number.

It is an amenable number.

64374048 is an abundant number, since it is smaller than the sum of its proper divisors (123386112).

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

64374048 is a wasteful number, since it uses less digits than its factorization.

64374048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74526 (or 74512 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 64374048 is about 8023.3439412754. The cubic root of 64374048 is about 400.7777534355. Note that the first 4 decimals are identical.

It can be divided in two parts, 643 and 74048, that added together give a triangular number (74691 = T386).

The spelling of 64374048 in words is "sixty-four million, three hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 74507 149014 223521 298028 447042 596056 670563 894084 1192112 1341126 1788168 2011689 2384224 2682252 3576336 4023378 5364504 7152672 8046756 10729008 16093512 21458016 32187024 64374048