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90861912 = 2334281499
BaseRepresentation
bin1010110101001…
…11000101011000
320022222021010000
411122213011120
5141230040122
613003253000
72152212351
oct532470530
9208867100
1090861912
114731a999
122651a160
1315a9435b
14c0d2d28
157e9c0ac
hex56a7158

90861912 has 80 divisors (see below), whose sum is σ = 255915000. Its totient is φ = 30119040.

The previous prime is 90861907. The next prime is 90861917. The reversal of 90861912 is 21916809.

It is an interprime number because it is at equal distance from previous prime (90861907) and next prime (90861917).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90861917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181839 + ... + 182337.

Almost surely, 290861912 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 90861912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127957500).

90861912 is an abundant number, since it is smaller than the sum of its proper divisors (165053088).

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

90861912 is a wasteful number, since it uses less digits than its factorization.

90861912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 90861912 is about 9532.1514885151. The cubic root of 90861912 is about 449.5665158930.

The spelling of 90861912 in words is "ninety million, eight hundred sixty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 281 324 499 562 648 843 998 1124 1497 1686 1996 2248 2529 2994 3372 3992 4491 5058 5988 6744 7587 8982 10116 11976 13473 15174 17964 20232 22761 26946 30348 35928 40419 45522 53892 60696 80838 91044 107784 140219 161676 182088 280438 323352 420657 560876 841314 1121752 1261971 1682628 2523942 3365256 3785913 5047884 7571826 10095768 11357739 15143652 22715478 30287304 45430956 90861912