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81738816 = 263312443
BaseRepresentation
bin1001101111100…
…11110001000000
312200210202120120
410313303301000
5131411120231
612035540240
72011524405
oct467636100
9180722516
1081738816
1142159645
122345a680
1313c1b983
14abda2ac
157298d96
hex4df3c40

81738816 has 84 divisors (see below), whose sum is σ = 223973136. Its totient is φ = 26307840.

The previous prime is 81738799. The next prime is 81738823. The reversal of 81738816 is 61883718.

It is an unprimeable number.

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, 184291 + ... + 184733.

Almost surely, 281738816 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 81738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111986568).

81738816 is an abundant number, since it is smaller than the sum of its proper divisors (142234320).

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

81738816 is a wasteful number, since it uses less digits than its factorization.

81738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 479 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 81738816 is about 9040.9521622449. The cubic root of 81738816 is about 433.9863941313.

The spelling of 81738816 in words is "eighty-one million, seven hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 443 496 744 886 961 992 1329 1488 1772 1922 1984 2658 2883 2976 3544 3844 5316 5766 5952 7088 7688 10632 11532 13733 14176 15376 21264 23064 27466 28352 30752 41199 42528 46128 54932 61504 82398 85056 92256 109864 164796 184512 219728 329592 425723 439456 659184 851446 878912 1277169 1318368 1702892 2554338 2636736 3405784 5108676 6811568 10217352 13623136 20434704 27246272 40869408 81738816