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47453868 = 2232711171953
BaseRepresentation
bin1011010100000…
…1011010101100
310022021220110200
42311001122230
544122010433
64413033500
71114231320
oct265013254
9108256420
1047453868
1124871880
1213a85890
139aa6517
146433980
154275613
hex2d416ac

47453868 has 288 divisors, whose sum is σ = 169827840. Its totient is φ = 10782720.

The previous prime is 47453863. The next prime is 47453873. The reversal of 47453868 is 86835474.

It is an interprime number because it is at equal distance from previous prime (47453863) and next prime (47453873).

It is a super-2 number, since 2×474538682 = 4503739176322848, which contains 22 as substring.

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

Its product of digits (645120) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47453863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895330 + ... + 895382.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 247453868 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 47453868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

47453868 is an abundant number, since it is smaller than the sum of its proper divisors (122373972).

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

47453868 is a wasteful number, since it uses less digits than its factorization.

47453868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 47453868 is about 6888.6767960182. The cubic root of 47453868 is about 362.0405416373.

The spelling of 47453868 in words is "forty-seven million, four hundred fifty-three thousand, eight hundred sixty-eight".