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48074292 = 22327227253
BaseRepresentation
bin1011011101100…
…0111000110100
310100110102112100
42313120320310
544301334132
64434222100
71122424200
oct267307064
9110412470
1048074292
1125155a22
1214124930
139c62a36
146555b00
15434937c
hex2dd8e34

48074292 has 54 divisors (see below), whose sum is σ = 141366498. Its totient is φ = 13735008.

The previous prime is 48074261. The next prime is 48074293. The reversal of 48074292 is 29247084.

It can be written as a sum of positive squares in only one way, i.e., 41293476 + 6780816 = 6426^2 + 2604^2 .

It is a super-3 number, since 3×480742923 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48074293) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11863 + ... + 15390.

Almost surely, 248074292 is an apocalyptic number.

48074292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48074292 is an abundant number, since it is smaller than the sum of its proper divisors (93292206).

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

48074292 is a wasteful number, since it uses less digits than its factorization.

48074292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27277 (or 27265 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48074292 is about 6933.5627205644. The cubic root of 48074292 is about 363.6115184768.

The spelling of 48074292 in words is "forty-eight million, seventy-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 27253 54506 81759 109012 163518 190771 245277 327036 381542 490554 572313 763084 981108 1144626 1335397 1716939 2289252 2670794 3433878 4006191 5341588 6867756 8012382 12018573 16024764 24037146 48074292