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48354048 = 283231677
BaseRepresentation
bin1011100001110…
…1001100000000
310100222122021200
42320131030000
544334312143
64444221200
71125000621
oct270351400
9110878250
1048354048
1125327126
121423a800
13a030182
1465c9a48
1543a21d3
hex2e1d300

48354048 has 108 divisors (see below), whose sum is σ = 144126528. Its totient is φ = 15575040.

The previous prime is 48354043. The next prime is 48354121. The reversal of 48354048 is 84045384.

It is a super-2 number, since 2×483540482 = 4676227915972608, which contains 22 as substring.

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 (48354043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71086 + ... + 71762.

Almost surely, 248354048 is an apocalyptic number.

48354048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72063264).

48354048 is an abundant number, since it is smaller than the sum of its proper divisors (95772480).

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

48354048 is a wasteful number, since it uses less digits than its factorization.

48354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 48354048 is about 6953.7075003195. The cubic root of 48354048 is about 364.3154693771.

The spelling of 48354048 in words is "forty-eight million, three hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 677 744 768 992 1116 1152 1354 1488 1984 2031 2232 2304 2708 2976 3968 4062 4464 5416 5952 6093 7936 8124 8928 10832 11904 12186 16248 17856 20987 21664 23808 24372 32496 35712 41974 43328 48744 62961 64992 71424 83948 86656 97488 125922 129984 167896 173312 188883 194976 251844 259968 335792 377766 389952 503688 519936 671584 755532 779904 1007376 1343168 1511064 1559808 2014752 2686336 3022128 4029504 5372672 6044256 8059008 12088512 16118016 24177024 48354048