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90948592 = 2471979541
BaseRepresentation
bin1010110101111…
…00001111110000
320100010200000101
411122330033300
5141240323332
613005202144
72153023150
oct532741760
9210120011
1090948592
114737a029
1226560354
1315ac4947
14c116760
157eb7ae7
hex56bc3f0

90948592 has 80 divisors (see below), whose sum is σ = 215065600. Its totient is φ = 36391680.

The previous prime is 90948587. The next prime is 90948607. The reversal of 90948592 is 29584909.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167842 + ... + 168382.

It is an arithmetic number, because the mean of its divisors is an integer number (2688320).

Almost surely, 290948592 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 90948592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107532800).

90948592 is an abundant number, since it is smaller than the sum of its proper divisors (124117008).

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

90948592 is a wasteful number, since it uses less digits than its factorization.

90948592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 90948592 is about 9536.6971221697. The cubic root of 90948592 is about 449.7094288756.

The spelling of 90948592 in words is "ninety million, nine hundred forty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 79 112 133 152 158 266 304 316 532 541 553 632 1064 1082 1106 1264 1501 2128 2164 2212 3002 3787 4328 4424 6004 7574 8656 8848 10279 10507 12008 15148 20558 21014 24016 30296 41116 42028 42739 60592 71953 82232 84056 85478 143906 164464 168112 170956 287812 299173 341912 575624 598346 683824 812041 1151248 1196692 1624082 2393384 3248164 4786768 5684287 6496328 11368574 12992656 22737148 45474296 90948592