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81476256 = 2531922351
BaseRepresentation
bin1001101101100…
…11101010100000
312200022102102010
410312303222200
5131324220011
612030152520
72006352051
oct466635240
9180272363
1081476256
1141a9a354
1223352740
1313b59304
14ab6c728
1572461a6
hex4db3aa0

81476256 has 72 divisors (see below), whose sum is σ = 225820224. Its totient is φ = 25718400.

The previous prime is 81476251. The next prime is 81476261. The reversal of 81476256 is 65267418.

It is an interprime number because it is at equal distance from previous prime (81476251) and next prime (81476261).

It is not an unprimeable number, because it can be changed into a prime (81476251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33481 + ... + 35831.

It is an arithmetic number, because the mean of its divisors is an integer number (3136392).

Almost surely, 281476256 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 81476256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112910112).

81476256 is an abundant number, since it is smaller than the sum of its proper divisors (144343968).

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

81476256 is a wasteful number, since it uses less digits than its factorization.

81476256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2375 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 81476256 is about 9026.4198883057. The cubic root of 81476256 is about 433.5212145177.

The spelling of 81476256 in words is "eighty-one million, four hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 722 912 1083 1444 1824 2166 2351 2888 4332 4702 5776 7053 8664 9404 11552 14106 17328 18808 28212 34656 37616 44669 56424 75232 89338 112848 134007 178676 225696 268014 357352 536028 714704 848711 1072056 1429408 1697422 2144112 2546133 3394844 4288224 5092266 6789688 10184532 13579376 20369064 27158752 40738128 81476256