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90414672 = 2431883639
BaseRepresentation
bin1010110001110…
…01111001010000
320022010112121120
411120321321100
5141121232142
612545522240
72145340425
oct530717120
9208115546
1090414672
1147044977
1226343380
131596890a
14c017d4c
157e0e7ec
hex5639e50

90414672 has 20 divisors (see below), whose sum is σ = 233571360. Its totient is φ = 30138208.

The previous prime is 90414659. The next prime is 90414677. The reversal of 90414672 is 27641409.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90414677) 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 3 ways as a sum of consecutive naturals, for example, 941772 + ... + 941867.

It is an arithmetic number, because the mean of its divisors is an integer number (11678568).

Almost surely, 290414672 is an apocalyptic number.

It is an amenable number.

90414672 is an abundant number, since it is smaller than the sum of its proper divisors (143156688).

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

90414672 is a wasteful number, since it uses less digits than its factorization.

90414672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883650 (or 1883644 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 90414672 is about 9508.6629974986. The cubic root of 90414672 is about 448.8276844015.

It can be divided in two parts, 904 and 14672, that added together give a triangular number (15576 = T176).

The spelling of 90414672 in words is "ninety million, four hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1883639 3767278 5650917 7534556 11301834 15069112 22603668 30138224 45207336 90414672