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8990496 = 2532193153
BaseRepresentation
bin100010010010…
…111100100000
3121220202122100
4202102330200
54300143441
6520410400
7136263234
oct42227440
917822570
108990496
115090769
123016a00
131b2a228
1412a05c4
15bc8cb6
hex892f20

8990496 has 144 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2695680.

The previous prime is 8990459. The next prime is 8990497. The reversal of 8990496 is 6940998.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8990497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169606 + ... + 169658.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 28990496 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 8990496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8990496 is an abundant number, since it is smaller than the sum of its proper divisors (19314144).

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

8990496 is a wasteful number, since it uses less digits than its factorization.

8990496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 8990496 is about 2998.4155816031. The cubic root of 8990496 is about 207.9351375664.

It can be divided in two parts, 89904 and 96, that added together give a square (90000 = 3002).

The spelling of 8990496 in words is "eight million, nine hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 53 57 62 72 76 93 96 106 114 124 144 152 159 171 186 212 228 248 279 288 304 318 342 372 424 456 477 496 558 589 608 636 684 744 848 912 954 992 1007 1116 1178 1272 1368 1488 1643 1696 1767 1824 1908 2014 2232 2356 2544 2736 2976 3021 3286 3534 3816 4028 4464 4712 4929 5088 5301 5472 6042 6572 7068 7632 8056 8928 9063 9424 9858 10602 12084 13144 14136 14787 15264 16112 18126 18848 19716 21204 24168 26288 28272 29574 31217 32224 36252 39432 42408 48336 52576 56544 59148 62434 72504 78864 84816 93651 96672 118296 124868 145008 157728 169632 187302 236592 249736 280953 290016 374604 473184 499472 561906 749208 998944 1123812 1498416 2247624 2996832 4495248 8990496