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90287808 = 2631361593
BaseRepresentation
bin1010110000110…
…10111011000000
320021220002120220
411120122323000
5141103202213
612543103040
72144301522
oct530327300
9207802526
1090287808
1146a68626
12262a1a80
1315922c50
14bdc3a12
157dd6e23
hex561aec0

90287808 has 112 divisors (see below), whose sum is σ = 261920736. Its totient is φ = 27279360.

The previous prime is 90287803. The next prime is 90287837. The reversal of 90287808 is 80878209.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90287808.

It is not an unprimeable number, because it can be changed into a prime (90287803) 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, 151960 + ... + 152552.

It is an arithmetic number, because the mean of its divisors is an integer number (2338578).

Almost surely, 290287808 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 90287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130960368).

90287808 is an abundant number, since it is smaller than the sum of its proper divisors (171632928).

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

90287808 is a wasteful number, since it uses less digits than its factorization.

90287808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 90287808 is about 9501.9896863762. The cubic root of 90287808 is about 448.6176641824.

It can be divided in two parts, 9028 and 7808, that added together give a triangular number (16836 = T183).

The spelling of 90287808 in words is "ninety million, two hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 312 366 416 488 593 624 732 793 832 976 1186 1248 1464 1586 1779 1952 2372 2379 2496 2928 3172 3558 3904 4744 4758 5856 6344 7116 7709 9488 9516 11712 12688 14232 15418 18976 19032 23127 25376 28464 30836 36173 37952 38064 46254 50752 56928 61672 72346 76128 92508 108519 113856 123344 144692 152256 185016 217038 246688 289384 370032 434076 470249 493376 578768 740064 868152 940498 1157536 1410747 1480128 1736304 1880996 2315072 2821494 3472608 3761992 5642988 6945216 7523984 11285976 15047968 22571952 30095936 45143904 90287808