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90926316 = 223213375989
BaseRepresentation
bin1010110101101…
…10110011101100
320100002112110100
411122312303230
5141234120231
613004511100
72152601205
oct532666354
9210075410
1090926316
1147364318
122654b490
1315ab7770
14c10c5ac
157eb11e6
hex56b6cec

90926316 has 144 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 26459136.

The previous prime is 90926299. The next prime is 90926321. The reversal of 90926316 is 61362909.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021600 + ... + 1021688.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 290926316 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 90926316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

90926316 is an abundant number, since it is smaller than the sum of its proper divisors (170498484).

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

90926316 is a wasteful number, since it uses less digits than its factorization.

90926316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 90926316 is about 9535.5291410598. The cubic root of 90926316 is about 449.6727101644.

It can be divided in two parts, 909 and 26316, that added together give a square (27225 = 1652).

The spelling of 90926316 in words is "ninety million, nine hundred twenty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 59 74 78 89 111 117 118 148 156 177 178 222 234 236 267 333 354 356 444 468 481 531 534 666 708 767 801 962 1062 1068 1157 1332 1443 1534 1602 1924 2124 2183 2301 2314 2886 3068 3204 3293 3471 4329 4366 4602 4628 5251 5772 6549 6586 6903 6942 8658 8732 9204 9879 10413 10502 13098 13172 13806 13884 15753 17316 19647 19758 20826 21004 26196 27612 28379 29637 31506 39294 39516 41652 42809 47259 56758 59274 63012 68263 78588 85137 85618 94518 113516 118548 128427 136526 170274 171236 189036 194287 204789 255411 256854 273052 340548 385281 388574 409578 510822 513708 582861 614367 770562 777148 819156 1021644 1165722 1228734 1541124 1748583 2331444 2457468 2525731 3497166 5051462 6994332 7577193 10102924 15154386 22731579 30308772 45463158 90926316