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47551072 = 2519197397
BaseRepresentation
bin1011010101100…
…1001001100000
310022110211210211
42311121021200
544133113242
64415103504
71115114602
oct265311140
9108424724
1047551072
1124928908
1213b11b94
139b0b83a
14645b172
154294317
hex2d59260

47551072 has 48 divisors (see below), whose sum is σ = 99293040. Its totient is φ = 22353408.

The previous prime is 47551019. The next prime is 47551073. The reversal of 47551072 is 27015574.

It is a super-2 number, since 2×475510722 = 4522208896698368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47551073) 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 7 ways as a sum of consecutive naturals, for example, 119578 + ... + 119974.

It is an arithmetic number, because the mean of its divisors is an integer number (2068605).

Almost surely, 247551072 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 47551072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49646520).

47551072 is an abundant number, since it is smaller than the sum of its proper divisors (51741968).

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

47551072 is a wasteful number, since it uses less digits than its factorization.

47551072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 47551072 is about 6895.7285329398. The cubic root of 47551072 is about 362.2875730439.

The spelling of 47551072 in words is "forty-seven million, five hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 197 304 394 397 608 788 794 1576 1588 3152 3176 3743 6304 6352 7486 7543 12704 14972 15086 29944 30172 59888 60344 78209 119776 120688 156418 241376 312836 625672 1251344 1485971 2502688 2971942 5943884 11887768 23775536 47551072