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48924792 = 2332797073
BaseRepresentation
bin1011101010100…
…0100001111000
310102001122012100
42322220201320
5100011043132
64504343400
71132565610
oct272504170
9112048170
1048924792
1125686a14
1214474b60
13a19cba7
1466d7a40
15446637c
hex2ea8878

48924792 has 48 divisors (see below), whose sum is σ = 151435440. Its totient is φ = 13978368.

The previous prime is 48924761. The next prime is 48924797. The reversal of 48924792 is 29742984.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48924797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48033 + ... + 49040.

It is an arithmetic number, because the mean of its divisors is an integer number (3154905).

Almost surely, 248924792 is an apocalyptic number.

48924792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48924792 is an abundant number, since it is smaller than the sum of its proper divisors (102510648).

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

48924792 is a wasteful number, since it uses less digits than its factorization.

48924792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97092 (or 97085 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 48924792 is about 6994.6259371034. The cubic root of 48924792 is about 365.7432580865.

It can be divided in two parts, 489 and 24792, that added together give a square (25281 = 1592).

The spelling of 48924792 in words is "forty-eight million, nine hundred twenty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 97073 194146 291219 388292 582438 679511 776584 873657 1164876 1359022 1747314 2038533 2329752 2718044 3494628 4077066 5436088 6115599 6989256 8154132 12231198 16308264 24462396 48924792