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38448935056 = 24724721492
BaseRepresentation
bin100011110011101111…
…000011000010010000
310200020120110021101201
4203303233003002100
51112220411410211
625355130040544
72530541361400
oct436357030220
9120216407351
1038448935056
111534046aa94
127550579154
13381992125c
141c0a5b4800
1510007520c1
hex8f3bc3090

38448935056 has 135 divisors (see below), whose sum is σ = 89138447769. Its totient is φ = 16019278464.

The previous prime is 38448935039. The next prime is 38448935081. The reversal of 38448935056 is 65053984483.

The square root of 38448935056 is 196084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4504557456 + 33944377600 = 67116^2 + 184240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38448934988 and 38448935006.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 258046470 + ... + 258046618.

Almost surely, 238448935056 is an apocalyptic number.

38448935056 is the 196084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38448935056

38448935056 is an abundant number, since it is smaller than the sum of its proper divisors (50689512713).

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

38448935056 is an equidigital number, since it uses as much as digits as its factorization.

38448935056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 38448935056 in words is "thirty-eight billion, four hundred forty-eight million, nine hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 149 188 196 298 329 376 392 596 658 752 784 1043 1192 1316 2086 2209 2303 2384 2632 4172 4418 4606 5264 7003 7301 8344 8836 9212 14006 14602 15463 16688 17672 18424 22201 28012 29204 30926 35344 36848 44402 49021 56024 58408 61852 88804 98042 108241 112048 116816 123704 155407 177608 196084 216482 247408 310814 329141 343147 355216 392168 432964 621628 658282 686294 784336 865928 1043447 1087849 1243256 1316564 1372588 1731856 2086894 2175698 2303987 2486512 2633128 2745176 4173788 4351396 4607974 5266256 5490352 7304129 8347576 8702792 9215948 14608258 16127909 16695152 17405584 18431896 29216516 32255818 36863792 49042009 51128903 58433032 64511636 98084018 102257806 116866064 129023272 196168036 204515612 258046544 343294063 392336072 409031224 686588126 784672144 818062448 1373176252 2403058441 2746352504 4806116882 5492705008 9612233764 19224467528 38448935056