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48924648 = 23368389
BaseRepresentation
bin1011101010100…
…0011111101000
310102001122000000
42322220133220
5100011042043
64504343000
71132565313
oct272503750
9112048000
1048924648
11256868a3
1214474a60
13a19cac6
1466d797a
1544662d3
hex2ea87e8

48924648 has 56 divisors (see below), whose sum is σ = 137554050. Its totient is φ = 16306272.

The previous prime is 48924643. The next prime is 48924661. The reversal of 48924648 is 84642984.

It can be written as a sum of positive squares in only one way, i.e., 33385284 + 15539364 = 5778^2 + 3942^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48924643) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1638 + ... + 10026.

Almost surely, 248924648 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 48924648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68777025).

48924648 is an abundant number, since it is smaller than the sum of its proper divisors (88629402).

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

48924648 is an equidigital number, since it uses as much as digits as its factorization.

48924648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8413 (or 8394 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48924648 is about 6994.6156434789. The cubic root of 48924648 is about 365.7428992563.

Adding to 48924648 its product of digits (442368), we get a triangular number (49367016 = T9936).

The spelling of 48924648 in words is "forty-eight million, nine hundred twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 8389 16778 25167 33556 50334 67112 75501 100668 151002 201336 226503 302004 453006 604008 679509 906012 1359018 1812024 2038527 2718036 4077054 5436072 6115581 8154108 12231162 16308216 24462324 48924648