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48735744 = 29331729
BaseRepresentation
bin1011100111101…
…0011000000000
310101201000212120
42321322120000
544434020434
64500324240
71131150501
oct271723000
9111630776
1048735744
1125567982
12143a3680
13a134b25
146688ba8
15442a349
hex2e7a600

48735744 has 40 divisors (see below), whose sum is σ = 129839160. Its totient is φ = 16244736.

The previous prime is 48735721. The next prime is 48735769. The reversal of 48735744 is 44753784.

It is a junction number, because it is equal to n+sod(n) for n = 48735696 and 48735705.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14329 + ... + 17400.

It is an arithmetic number, because the mean of its divisors is an integer number (3245979).

Almost surely, 248735744 is an apocalyptic number.

It is an amenable number.

48735744 is an abundant number, since it is smaller than the sum of its proper divisors (81103416).

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

48735744 is an equidigital number, since it uses as much as digits as its factorization.

48735744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31750 (or 31734 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 48735744 is about 6981.0990538740. The cubic root of 48735744 is about 365.2715662118.

Adding to 48735744 its product of digits (376320), we get a square (49112064 = 70082).

The spelling of 48735744 in words is "forty-eight million, seven hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 31729 63458 95187 126916 190374 253832 380748 507664 761496 1015328 1522992 2030656 3045984 4061312 6091968 8122624 12183936 16245248 24367872 48735744