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48437952 = 263435867
BaseRepresentation
bin1011100011000…
…1101011000000
310101010220101020
42320301223000
544400003302
64450105440
71125500343
oct270615300
9111126336
1048437952
1125384172
121427b280
13a05c414
14660c45a
1543bbebc
hex2e31ac0

48437952 has 56 divisors (see below), whose sum is σ = 131161536. Its totient is φ = 15767808.

The previous prime is 48437951. The next prime is 48437959. The reversal of 48437952 is 25973484.

It is not an unprimeable number, because it can be changed into a prime (48437951) 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, 5323 + ... + 11189.

Almost surely, 248437952 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 48437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65580768).

48437952 is an abundant number, since it is smaller than the sum of its proper divisors (82723584).

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

48437952 is a wasteful number, since it uses less digits than its factorization.

48437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5915 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 48437952 is about 6959.7379261004. The cubic root of 48437952 is about 364.5260678217.

The spelling of 48437952 in words is "forty-eight million, four hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 5867 8256 11734 17601 23468 35202 46936 70404 93872 140808 187744 252281 281616 375488 504562 563232 756843 1009124 1126464 1513686 2018248 3027372 4036496 6054744 8072992 12109488 16145984 24218976 48437952