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48813952 = 271137937
BaseRepresentation
bin1011101000110…
…1011110000000
310101212000011011
42322031132000
544444021302
64502130304
71131624505
oct272153600
9111760134
1048813952
1125610710
1214420994
13a1615c5
1466a94ac
1544435d7
hex2e8d780

48813952 has 64 divisors (see below), whose sum is σ = 109070640. Its totient is φ = 21565440.

The previous prime is 48813949. The next prime is 48813959. The reversal of 48813952 is 25931884.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48813959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51628 + ... + 52564.

Almost surely, 248813952 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 48813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54535320).

48813952 is an abundant number, since it is smaller than the sum of its proper divisors (60256688).

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

48813952 is a wasteful number, since it uses less digits than its factorization.

48813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 48813952 is about 6986.6982187583. The cubic root of 48813952 is about 365.4668499262.

The spelling of 48813952 in words is "forty-eight million, eight hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 937 1184 1408 1628 1874 2368 3256 3748 4736 6512 7496 10307 13024 14992 20614 26048 29984 34669 41228 52096 59968 69338 82456 119936 138676 164912 277352 329824 381359 554704 659648 762718 1109408 1319296 1525436 2218816 3050872 4437632 6101744 12203488 24406976 48813952