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87879978 = 2351931307
BaseRepresentation
bin1010011110011…
…11000100101010
320010100202200000
411033033010222
5134444124403
612415323430
72114652564
oct517170452
9203322600
1087879978
114567358a
1225520576
131528bcb4
14b958334
157aad7a3
hex53cf12a

87879978 has 96 divisors (see below), whose sum is σ = 215255040. Its totient is φ = 26768880.

The previous prime is 87879977. The next prime is 87880007. The reversal of 87879978 is 87997878.

It is not an unprimeable number, because it can be changed into a prime (87879977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286101 + ... + 286407.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 287879978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87879978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107627520).

87879978 is an abundant number, since it is smaller than the sum of its proper divisors (127375062).

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

87879978 is a wasteful number, since it uses less digits than its factorization.

87879978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 63.

The square root of 87879978 is about 9374.4321428020. The cubic root of 87879978 is about 444.5937090359.

The spelling of 87879978 in words is "eighty-seven million, eight hundred seventy-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 243 279 307 342 486 513 558 589 614 837 921 1026 1178 1539 1674 1767 1842 2511 2763 3078 3534 4617 5022 5301 5526 5833 7533 8289 9234 9517 10602 11666 15066 15903 16578 17499 19034 24867 28551 31806 34998 47709 49734 52497 57102 74601 85653 95418 104994 143127 149202 157491 171306 180823 256959 286254 314982 361646 472473 513918 542469 770877 944946 1084938 1417419 1541754 1627407 2312631 2834838 3254814 4625262 4882221 9764442 14646663 29293326 43939989 87879978