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86872044 = 22373173457
BaseRepresentation
bin1010010110110…
…00111111101100
320001110120001010
411023120333230
5134214401134
612341545220
72103254160
oct513307754
9201416033
1086872044
1145045286
1225115210
1314cc829c
14b774ca0
15795ece9
hex52d8fec

86872044 has 96 divisors (see below), whose sum is σ = 242937856. Its totient is φ = 23639040.

The previous prime is 86872021. The next prime is 86872063. The reversal of 86872044 is 44027868.

It is a junction number, because it is equal to n+sod(n) for n = 86871993 and 86872011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189864 + ... + 190320.

Almost surely, 286872044 is an apocalyptic number.

86872044 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86872044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121468928).

86872044 is an abundant number, since it is smaller than the sum of its proper divisors (156065812).

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

86872044 is a wasteful number, since it uses less digits than its factorization.

86872044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 86872044 is about 9320.5173676143. The cubic root of 86872044 is about 442.8874222000.

It can be divided in two parts, 8687 and 2044, that added together give a triangular number (10731 = T146).

The spelling of 86872044 in words is "eighty-six million, eight hundred seventy-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 73 84 93 124 146 186 217 219 292 372 434 438 457 511 651 868 876 914 1022 1302 1371 1533 1828 2044 2263 2604 2742 3066 3199 4526 5484 6132 6398 6789 9052 9597 12796 13578 14167 15841 19194 27156 28334 31682 33361 38388 42501 47523 56668 63364 66722 85002 95046 99169 100083 133444 170004 190092 198338 200166 233527 297507 396676 400332 467054 595014 700581 934108 1034191 1190028 1401162 2068382 2802324 3102573 4136764 6205146 7239337 12410292 14478674 21718011 28957348 43436022 86872044