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81733248 = 273270949
BaseRepresentation
bin1001101111100…
…10011010000000
312200210110221100
410313302122000
5131410430443
612035454400
72011502232
oct467623200
9180713840
1081733248
1142155443
1223457400
1313c1928c
14abd8252
1572973d3
hex4df2680

81733248 has 48 divisors (see below), whose sum is σ = 235199250. Its totient is φ = 27244032.

The previous prime is 81733247. The next prime is 81733277. The reversal of 81733248 is 84233718.

It can be written as a sum of positive squares in only one way, i.e., 61591104 + 20142144 = 7848^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (81733247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34323 + ... + 36626.

Almost surely, 281733248 is an apocalyptic number.

It is an amenable number.

81733248 is an abundant number, since it is smaller than the sum of its proper divisors (153466002).

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

81733248 is a wasteful number, since it uses less digits than its factorization.

81733248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70969 (or 70954 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 81733248 is about 9040.6442248327. The cubic root of 81733248 is about 433.9765396083.

The spelling of 81733248 in words is "eighty-one million, seven hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 70949 141898 212847 283796 425694 567592 638541 851388 1135184 1277082 1702776 2270368 2554164 3405552 4540736 5108328 6811104 9081472 10216656 13622208 20433312 27244416 40866624 81733248