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47255616 = 2633232941
BaseRepresentation
bin1011010001000…
…1000001000000
310021220211112000
42310101001000
544044134431
64404504000
71112444322
oct264210100
9107824460
1047255616
1124746931
12139ab000
139a37205
1463c1612
1542369e6
hex2d11040

47255616 has 224 divisors, whose sum is σ = 153619200. Its totient is φ = 14192640.

The previous prime is 47255609. The next prime is 47255617. The reversal of 47255616 is 61655274.

It is a happy number.

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 (47255617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152556 + ... + 1152596.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 247255616 is an apocalyptic number.

47255616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

47255616 is an abundant number, since it is smaller than the sum of its proper divisors (106363584).

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

47255616 is a wasteful number, since it uses less digits than its factorization.

47255616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 47255616 is about 6874.2720341866. The cubic root of 47255616 is about 361.5356621900.

The spelling of 47255616 in words is "forty-seven million, two hundred fifty-five thousand, six hundred sixteen".