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90471444 = 22372251613
BaseRepresentation
bin1010110010001…
…11110000010100
320022020102111020
411121013300110
5141130041234
612551041140
72145665100
oct531076024
9208212436
1090471444
1147083598
12263701b0
13159886cb
14c030900
157e21549
hex5647c14

90471444 has 72 divisors (see below), whose sum is σ = 246945888. Its totient is φ = 25704000.

The previous prime is 90471439. The next prime is 90471449. The reversal of 90471444 is 44417409.

It is an interprime number because it is at equal distance from previous prime (90471439) and next prime (90471449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90471449) 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, 147282 + ... + 147894.

It is an arithmetic number, because the mean of its divisors is an integer number (3429804).

Almost surely, 290471444 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 90471444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123472944).

90471444 is an abundant number, since it is smaller than the sum of its proper divisors (156474444).

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

90471444 is a wasteful number, since it uses less digits than its factorization.

90471444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 90471444 is about 9511.6478067683. The cubic root of 90471444 is about 448.9216054190.

The spelling of 90471444 in words is "ninety million, four hundred seventy-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 251 294 502 588 613 753 1004 1226 1506 1757 1839 2452 3012 3514 3678 4291 5271 7028 7356 8582 10542 12299 12873 17164 21084 24598 25746 30037 36897 49196 51492 60074 73794 90111 120148 147588 153863 180222 307726 360444 461589 615452 923178 1077041 1846356 2154082 3231123 4308164 6462246 7539287 12924492 15078574 22617861 30157148 45235722 90471444