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88086040 = 2357417673
BaseRepresentation
bin1010100000000…
…01011000011000
320010202020022221
411100001120120
5140022223130
612423553424
72116501420
oct520013030
9203666287
1088086040
11457a4389
12255bb874
1315331a23
14b9ad480
157aee87a
hex5401618

88086040 has 64 divisors (see below), whose sum is σ = 232061760. Its totient is φ = 29460480.

The previous prime is 88086029. The next prime is 88086049. The reversal of 88086040 is 4068088.

It is a junction number, because it is equal to n+sod(n) for n = 88085987 and 88086005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88086049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7644 + ... + 15316.

It is an arithmetic number, because the mean of its divisors is an integer number (3625965).

Almost surely, 288086040 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 88086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116030880).

88086040 is an abundant number, since it is smaller than the sum of its proper divisors (143975720).

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

88086040 is a wasteful number, since it uses less digits than its factorization.

88086040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 88086040 is about 9385.4163466519. The cubic root of 88086040 is about 444.9409339606.

The spelling of 88086040 in words is "eighty-eight million, eighty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 7673 11480 15346 30692 38365 53711 61384 76730 107422 153460 214844 268555 306920 314593 429688 537110 629186 1074220 1258372 1572965 2148440 2202151 2516744 3145930 4404302 6291860 8808604 11010755 12583720 17617208 22021510 44043020 88086040