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48695688 = 23331511493
BaseRepresentation
bin1011100111000…
…0100110001000
310101121222221000
42321300212020
544431230223
64455415000
71130622636
oct271604610
9111558830
1048695688
112553a878
1214384460
13a11c822
146678356
15441d543
hex2e70988

48695688 has 64 divisors (see below), whose sum is σ = 136252800. Its totient is φ = 16113600.

The previous prime is 48695681. The next prime is 48695693. The reversal of 48695688 is 88659684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48695681) 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 15 ways as a sum of consecutive naturals, for example, 31870 + ... + 33362.

It is an arithmetic number, because the mean of its divisors is an integer number (2128950).

Almost surely, 248695688 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 48695688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68126400).

48695688 is an abundant number, since it is smaller than the sum of its proper divisors (87557112).

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

48695688 is a wasteful number, since it uses less digits than its factorization.

48695688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1649 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 48695688 is about 6978.2295748994. The cubic root of 48695688 is about 365.1714663194.

The spelling of 48695688 in words is "forty-eight million, six hundred ninety-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 906 1208 1359 1493 1812 2718 2986 3624 4077 4479 5436 5972 8154 8958 10872 11944 13437 16308 17916 26874 32616 35832 40311 53748 80622 107496 161244 225443 322488 450886 676329 901772 1352658 1803544 2028987 2705316 4057974 5410632 6086961 8115948 12173922 16231896 24347844 48695688