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8490528 = 253331317
BaseRepresentation
bin100000011000…
…111000100000
3120222100211000
4200120320200
54133144103
6501552000
7132111504
oct40307040
916870730
108490528
11487a072
122a15600
1319b37a7
1411b0304
15b2aaa3
hex818e20

8490528 has 96 divisors (see below), whose sum is σ = 25643520. Its totient is φ = 2730240.

The previous prime is 8490499. The next prime is 8490539. The reversal of 8490528 is 8250948.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8490492 and 8490501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26626 + ... + 26942.

It is an arithmetic number, because the mean of its divisors is an integer number (267120).

Almost surely, 28490528 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 8490528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760).

8490528 is an abundant number, since it is smaller than the sum of its proper divisors (17152992).

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

8490528 is a wasteful number, since it uses less digits than its factorization.

8490528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8490528 is about 2913.8510600235. The cubic root of 8490528 is about 204.0069201805.

The spelling of 8490528 in words is "eight million, four hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 317 372 432 496 558 634 744 837 864 951 992 1116 1268 1488 1674 1902 2232 2536 2853 2976 3348 3804 4464 5072 5706 6696 7608 8559 8928 9827 10144 11412 13392 15216 17118 19654 22824 26784 29481 30432 34236 39308 45648 58962 68472 78616 88443 91296 117924 136944 157232 176886 235848 265329 273888 314464 353772 471696 530658 707544 943392 1061316 1415088 2122632 2830176 4245264 8490528