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81859440 = 24351326237
BaseRepresentation
bin1001110000100…
…01001101110000
312201000220001010
410320101031300
5131424000230
612042310520
72012536155
oct470211560
9181026033
1081859440
1142231233
12234b8440
1313c61850
14ac2c22c
1572be9b0
hex4e11370

81859440 has 80 divisors (see below), whose sum is σ = 273295008. Its totient is φ = 20149248.

The previous prime is 81859439. The next prime is 81859457. The reversal of 81859440 is 4495818.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×818594402 = 13401935834227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9999 + ... + 16238.

Almost surely, 281859440 is an apocalyptic number.

81859440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81859440 is an abundant number, since it is smaller than the sum of its proper divisors (191435568).

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

81859440 is a wasteful number, since it uses less digits than its factorization.

81859440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26266 (or 26260 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 81859440 is about 9047.6206817041. The cubic root of 81859440 is about 434.1997707026.

The spelling of 81859440 in words is "eighty-one million, eight hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 26237 52474 78711 104948 131185 157422 209896 262370 314844 341081 393555 419792 524740 629688 682162 787110 1023243 1049480 1259376 1364324 1574220 1705405 2046486 2098960 2728648 3148440 3410810 4092972 5116215 5457296 6296880 6821620 8185944 10232430 13643240 16371888 20464860 27286480 40929720 81859440