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47106816 = 28383739
BaseRepresentation
bin1011001110110…
…0101100000000
310021122021101220
42303230230000
544024404231
64401355040
71111254441
oct263545400
9107567356
1047106816
1124655059
1213938a80
1399b4573
1463832c8
154207896
hex2cecb00

47106816 has 72 divisors (see below), whose sum is σ = 127055040. Its totient is φ = 15492096.

The previous prime is 47106811. The next prime is 47106821. The reversal of 47106816 is 61860174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47106811) and next prime (47106821).

It is a super-2 number, since 2×471068162 = 4438104227315712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47106811) 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, 63375 + ... + 64113.

Almost surely, 247106816 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 47106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63527520).

47106816 is an abundant number, since it is smaller than the sum of its proper divisors (79948224).

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

47106816 is an equidigital number, since it uses as much as digits as its factorization.

47106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 47106816 is about 6863.4405366405. The cubic root of 47106816 is about 361.1557914962.

The spelling of 47106816 in words is "forty-seven million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 739 768 996 1328 1478 1992 2217 2656 2956 3984 4434 5312 5912 7968 8868 10624 11824 15936 17736 21248 23648 31872 35472 47296 61337 63744 70944 94592 122674 141888 184011 189184 245348 283776 368022 490696 567552 736044 981392 1472088 1962784 2944176 3925568 5888352 7851136 11776704 15702272 23553408 47106816