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47055096 = 233211195359
BaseRepresentation
bin1011001110000…
…0000011111000
310021112122110100
42303200003320
544021230341
64400315400
71110650604
oct263400370
9107478410
1047055096
112461a210
1213912b60
139996b6a
14636c504
1541e73b6
hex2ce00f8

47055096 has 192 divisors, whose sum is σ = 151632000. Its totient is φ = 13029120.

The previous prime is 47055061. The next prime is 47055097. The reversal of 47055096 is 69055074.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47055096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47055097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797515 + ... + 797573.

It is an arithmetic number, because the mean of its divisors is an integer number (789750).

Almost surely, 247055096 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 47055096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

47055096 is an abundant number, since it is smaller than the sum of its proper divisors (104576904).

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

47055096 is a wasteful number, since it uses less digits than its factorization.

47055096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 47055096 is about 6859.6717122615. The cubic root of 47055096 is about 361.0235684666.

It can be divided in two parts, 4705 and 5096, that added together give a square (9801 = 992).

The spelling of 47055096 in words is "forty-seven million, fifty-five thousand, ninety-six".