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90852888 = 23374791129
BaseRepresentation
bin1010110101001…
…00111000011000
320022221210201210
411122210320120
5141224243023
613003143120
72152144140
oct532447030
9208853653
1090852888
1147314135
1226514aa0
1315a90209
14c0cd920
157e99593
hex56a4e18

90852888 has 64 divisors (see below), whose sum is σ = 260352000. Its totient is φ = 25880832.

The previous prime is 90852887. The next prime is 90852893. The reversal of 90852888 is 88825809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90852887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79908 + ... + 81036.

It is an arithmetic number, because the mean of its divisors is an integer number (4068000).

Almost surely, 290852888 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 90852888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130176000).

90852888 is an abundant number, since it is smaller than the sum of its proper divisors (169499112).

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

90852888 is a wasteful number, since it uses less digits than its factorization.

90852888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The square root of 90852888 is about 9531.6781313681. The cubic root of 90852888 is about 449.5516324196.

The spelling of 90852888 in words is "ninety million, eight hundred fifty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 479 958 1129 1437 1916 2258 2874 3353 3387 3832 4516 5748 6706 6774 7903 9032 10059 11496 13412 13548 15806 20118 23709 26824 27096 31612 40236 47418 63224 80472 94836 189672 540791 1081582 1622373 2163164 3244746 3785537 4326328 6489492 7571074 11356611 12978984 15142148 22713222 30284296 45426444 90852888