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87406044 = 223112173541
BaseRepresentation
bin1010011010110…
…11010111011100
320002110200112220
411031123113130
5134333443134
612401225340
72110640055
oct515332734
9202420486
1087406044
114537a500
1225332250
131515436b
14b87372c
157a18149
hex535b5dc

87406044 has 72 divisors (see below), whose sum is σ = 237427344. Its totient is φ = 24921600.

The previous prime is 87406043. The next prime is 87406069. The reversal of 87406044 is 44060478.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 87405996 and 87406014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87406043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22914 + ... + 26454.

It is an arithmetic number, because the mean of its divisors is an integer number (3297602).

Almost surely, 287406044 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 87406044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118713672).

87406044 is an abundant number, since it is smaller than the sum of its proper divisors (150021300).

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

87406044 is a wasteful number, since it uses less digits than its factorization.

87406044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 87406044 is about 9349.1199585843. The cubic root of 87406044 is about 443.7930412790.

The spelling of 87406044 in words is "eighty-seven million, four hundred six thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 3541 4114 6171 7082 8228 10623 12342 14164 21246 24684 38951 42492 60197 77902 116853 120394 155804 180591 233706 240788 361182 428461 467412 662167 722364 856922 1285383 1324334 1713844 1986501 2570766 2648668 3973002 5141532 7283837 7946004 14567674 21851511 29135348 43703022 87406044