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48074052 = 22313349883
BaseRepresentation
bin1011011101100…
…0110101000100
310100110102012110
42313120311010
544301332202
64434221020
71122423405
oct267306504
9110412173
1048074052
1125155824
1214124770
139c628b0
1465559ac
15434926c
hex2dd8d44

48074052 has 48 divisors (see below), whose sum is σ = 121284800. Its totient is φ = 14732928.

The previous prime is 48074023. The next prime is 48074053. The reversal of 48074052 is 25047084.

48074052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480740523 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48074053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54003 + ... + 54885.

Almost surely, 248074052 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 48074052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60642400).

48074052 is an abundant number, since it is smaller than the sum of its proper divisors (73210748).

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

48074052 is a wasteful number, since it uses less digits than its factorization.

48074052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 48074052 is about 6933.5454134231. The cubic root of 48074052 is about 363.6109133931.

The spelling of 48074052 in words is "forty-eight million, seventy-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 349 698 883 1047 1396 1766 2094 2649 3532 4188 4537 5298 9074 10596 11479 13611 18148 22958 27222 34437 45916 54444 68874 137748 308167 616334 924501 1232668 1849002 3698004 4006171 8012342 12018513 16024684 24037026 48074052