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38934656 = 27378221
BaseRepresentation
bin1001010010000…
…1100010000000
32201021002022022
42110201202000
534431402111
63510301012
7651640055
oct224414200
981232268
1038934656
111aa83202
1211057768
1380b2977
14525702c
1536412db
hex2521880

38934656 has 32 divisors (see below), whose sum is σ = 79671180. Its totient is φ = 18938880.

The previous prime is 38934647. The next prime is 38934671. The reversal of 38934656 is 65643983.

It can be written as a sum of positive squares in 2 ways, for example, as 30030400 + 8904256 = 5480^2 + 2984^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626 + ... + 8846.

Almost surely, 238934656 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 38934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39835590).

38934656 is an abundant number, since it is smaller than the sum of its proper divisors (40736524).

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

38934656 is an equidigital number, since it uses as much as digits as its factorization.

38934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8260 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 38934656 is about 6239.7640981050. The cubic root of 38934656 is about 338.9316407152.

The spelling of 38934656 in words is "thirty-eight million, nine hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 8221 16442 32884 65768 131536 263072 304177 526144 608354 1052288 1216708 2433416 4866832 9733664 19467328 38934656