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87418044 = 223272631319
BaseRepresentation
bin1010011010111…
…10010010111100
320002111022000100
411031132102330
5134334334134
612401401100
72111020050
oct515362274
9202438010
1087418044
114538851a
1225339190
131515996c
14b877c60
157a1b999
hex535e4bc

87418044 has 72 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 24862752.

The previous prime is 87418033. The next prime is 87418061. The reversal of 87418044 is 44081478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65617 + ... + 66935.

It is an arithmetic number, because the mean of its divisors is an integer number (3523520).

Almost surely, 287418044 is an apocalyptic number.

87418044 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 87418044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

87418044 is an abundant number, since it is smaller than the sum of its proper divisors (166275396).

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

87418044 is a wasteful number, since it uses less digits than its factorization.

87418044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 87418044 is about 9349.7617081934. The cubic root of 87418044 is about 443.8133498396.

The spelling of 87418044 in words is "eighty-seven million, four hundred eighteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263 526 789 1052 1319 1578 1841 2367 2638 3156 3682 3957 4734 5276 5523 7364 7914 9233 9468 11046 11871 15828 16569 18466 22092 23742 27699 33138 36932 47484 55398 66276 83097 110796 166194 332388 346897 693794 1040691 1387588 2081382 2428279 3122073 4162764 4856558 6244146 7284837 9713116 12488292 14569674 21854511 29139348 43709022 87418044