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90437472 = 2534233741
BaseRepresentation
bin1010110001111…
…11011101100000
320022011200220000
411120333131200
5141122444342
612550220000
72145464046
oct530773540
9208150800
1090437472
1147060014
1226354600
13159760c8
14c022396
157e1644c
hex563f760

90437472 has 240 divisors, whose sum is σ = 291991392. Its totient is φ = 27371520.

The previous prime is 90437411. The next prime is 90437483. The reversal of 90437472 is 27473409.

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 39 ways as a sum of consecutive naturals, for example, 2205772 + ... + 2205812.

Almost surely, 290437472 is an apocalyptic number.

90437472 is a gapful number since it is divisible by the number (92) 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 90437472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145995696).

90437472 is an abundant number, since it is smaller than the sum of its proper divisors (201553920).

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

90437472 is a wasteful number, since it uses less digits than its factorization.

90437472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 90437472 is about 9509.8618286492. The cubic root of 90437472 is about 448.8654084085.

90437472 divided by its sum of digits (36) gives a palindrome (2512152).

It can be divided in two parts, 90437 and 472, that added together give a palindrome (90909).

The spelling of 90437472 in words is "ninety million, four hundred thirty-seven thousand, four hundred seventy-two".