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48015936 = 263337751
BaseRepresentation
bin1011011100101…
…0101001000000
310100100110111000
42313022221000
544243002221
64433052000
71122062103
oct267125100
9110313430
1048015936
11251160a1
12140b7000
139c422c7
14653c73a
154336e26
hex2dcaa40

48015936 has 112 divisors (see below), whose sum is σ = 145166080. Its totient is φ = 15552000.

The previous prime is 48015923. The next prime is 48015937. The reversal of 48015936 is 63951084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48015936.

It is not an unprimeable number, because it can be changed into a prime (48015937) 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, 63561 + ... + 64311.

Almost surely, 248015936 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 48015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72583040).

48015936 is an abundant number, since it is smaller than the sum of its proper divisors (97150144).

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

48015936 is a wasteful number, since it uses less digits than its factorization.

48015936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 48015936 is about 6929.3532165708. The cubic root of 48015936 is about 363.4643330521.

The spelling of 48015936 in words is "forty-eight million, fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 751 864 888 999 1184 1332 1502 1728 1776 1998 2253 2368 2664 3004 3552 3996 4506 5328 6008 6759 7104 7992 9012 10656 12016 13518 15984 18024 20277 21312 24032 27036 27787 31968 36048 40554 48064 54072 55574 63936 72096 81108 83361 108144 111148 144192 162216 166722 216288 222296 250083 324432 333444 432576 444592 500166 648864 666888 750249 889184 1000332 1297728 1333776 1500498 1778368 2000664 2667552 3000996 4001328 5335104 6001992 8002656 12003984 16005312 24007968 48015936