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90216480 = 2535187951
BaseRepresentation
bin1010110000010…
…01100000100000
320021202110202010
411120021200200
5141043411410
612541352520
72143553544
oct530114040
9207673663
1090216480
1146a19a82
1226268740
13158c9643
14bda5a24
157dc0c20
hex5609820

90216480 has 48 divisors (see below), whose sum is σ = 284183424. Its totient is φ = 24057600.

The previous prime is 90216473. The next prime is 90216481. The reversal of 90216480 is 8461209.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90216481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93496 + ... + 94455.

It is an arithmetic number, because the mean of its divisors is an integer number (5920488).

Almost surely, 290216480 is an apocalyptic number.

It is an amenable number.

90216480 is an abundant number, since it is smaller than the sum of its proper divisors (193966944).

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

90216480 is a wasteful number, since it uses less digits than its factorization.

90216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187969 (or 187961 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 90216480 is about 9498.2356256307. The cubic root of 90216480 is about 448.4994960279.

Adding to 90216480 its reverse (8461209), we get a palindrome (98677689).

The spelling of 90216480 in words is "ninety million, two hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 187951 375902 563853 751804 939755 1127706 1503608 1879510 2255412 2819265 3007216 3759020 4510824 5638530 6014432 7518040 9021648 11277060 15036080 18043296 22554120 30072160 45108240 90216480