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86998016 = 210753229
BaseRepresentation
bin1010010111101…
…11110000000000
320001200221211202
411023313300000
5134232414031
612344400332
72104320350
oct513676000
9201627752
1086998016
1145120996
12251760a8
1315040721
14b7a8b60
1579872cb
hex52f7c00

86998016 has 88 divisors (see below), whose sum is σ = 203389920. Its totient is φ = 36421632.

The previous prime is 86998003. The next prime is 86998019. The reversal of 86998016 is 61089968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86998019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379790 + ... + 380018.

Almost surely, 286998016 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 86998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101694960).

86998016 is an abundant number, since it is smaller than the sum of its proper divisors (116391904).

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

86998016 is a wasteful number, since it uses less digits than its factorization.

86998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 86998016 is about 9327.2726989190. The cubic root of 86998016 is about 443.1013938685.

The spelling of 86998016 in words is "eighty-six million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 229 256 371 424 448 458 512 742 848 896 916 1024 1484 1603 1696 1792 1832 2968 3206 3392 3584 3664 5936 6412 6784 7168 7328 11872 12137 12824 13568 14656 23744 24274 25648 27136 29312 47488 48548 51296 54272 58624 84959 94976 97096 102592 117248 169918 189952 194192 205184 234496 339836 379904 388384 410368 679672 776768 820736 1359344 1553536 1641472 2718688 3107072 5437376 6214144 10874752 12428288 21749504 43499008 86998016