Search a number
-
+
90308608 = 2171353
BaseRepresentation
bin1010110001000…
…00000000000000
320021221011010021
411120200000000
5141104333413
612543343224
72144416255
oct530400000
9207834107
1090308608
1146a82215
12262b1b14
131592c560
14bdcb42c
157ddd18d
hex5620000

90308608 has 72 divisors (see below), whose sum is σ = 198180108. Its totient is φ = 40894464.

The previous prime is 90308599. The next prime is 90308627. The reversal of 90308608 is 80680309.

It can be written as a sum of positive squares in 2 ways, for example, as 89718784 + 589824 = 9472^2 + 768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703910 + ... + 1703962.

Almost surely, 290308608 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 90308608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99090054).

90308608 is an abundant number, since it is smaller than the sum of its proper divisors (107871500).

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

90308608 is an frugal number, since it uses more digits than its factorization.

90308608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 90308608 is about 9503.0841309545. The cubic root of 90308608 is about 448.6521115464.

The spelling of 90308608 in words is "ninety million, three hundred eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 512 689 832 848 1024 1378 1664 1696 2048 2756 3328 3392 4096 5512 6656 6784 8192 11024 13312 13568 16384 22048 26624 27136 32768 44096 53248 54272 65536 88192 106496 108544 131072 176384 212992 217088 352768 425984 434176 705536 851968 868352 1411072 1703936 1736704 2822144 3473408 5644288 6946816 11288576 22577152 45154304 90308608