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87676650 = 232521773157
BaseRepresentation
bin1010011100111…
…01011011101010
320002222102202100
411032131123222
5134421123100
612411114230
72113145025
oct516353352
9202872670
1087676650
1145544846
1225442976
131521a599
14b9041bc
157a6d400
hex539d6ea

87676650 has 144 divisors (see below), whose sum is σ = 254441304. Its totient is φ = 21565440.

The previous prime is 87676637. The next prime is 87676661. The reversal of 87676650 is 5667678.

It can be written as a sum of positive squares in 12 ways, for example, as 8982009 + 78694641 = 2997^2 + 8871^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 87676596 and 87676605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 558372 + ... + 558528.

Almost surely, 287676650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87676650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127220652).

87676650 is an abundant number, since it is smaller than the sum of its proper divisors (166764654).

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

87676650 is a wasteful number, since it uses less digits than its factorization.

87676650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 87676650 is about 9363.5810457324. The cubic root of 87676650 is about 444.2505586022.

The spelling of 87676650 in words is "eighty-seven million, six hundred seventy-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 73 75 85 90 102 146 150 153 157 170 219 225 255 306 314 365 425 438 450 471 510 657 730 765 785 850 942 1095 1241 1275 1314 1413 1530 1570 1825 2190 2355 2482 2550 2669 2826 3285 3650 3723 3825 3925 4710 5338 5475 6205 6570 7065 7446 7650 7850 8007 10950 11169 11461 11775 12410 13345 14130 16014 16425 18615 22338 22922 23550 24021 26690 31025 32850 34383 35325 37230 40035 48042 55845 57305 62050 66725 68766 70650 80070 93075 103149 111690 114610 120105 133450 171915 186150 194837 200175 206298 240210 279225 286525 343830 389674 400350 515745 558450 573050 584511 600525 859575 974185 1031490 1169022 1201050 1719150 1753533 1948370 2578725 2922555 3507066 4870925 5157450 5845110 8767665 9741850 14612775 17535330 29225550 43838325 87676650