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8290044 = 2232767491
BaseRepresentation
bin11111100111111011111100
3120121011210200
4133213323330
54110240134
6453403500
7130315140
oct37477374
916534720
108290044
114752484
122939590
131943469
14115b220
15adb499
hex7e7efc

8290044 has 72 divisors (see below), whose sum is σ = 24355968. Its totient is φ = 2328480.

The previous prime is 8290043. The next prime is 8290063. The reversal of 8290044 is 4400928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290043) 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, 16639 + ... + 17129.

Almost surely, 28290044 is an apocalyptic number.

8290044 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8290044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177984).

8290044 is an abundant number, since it is smaller than the sum of its proper divisors (16065924).

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

8290044 is a wasteful number, since it uses less digits than its factorization.

8290044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8290044 is about 2879.2436506833. The cubic root of 8290044 is about 202.3883975810.

It can be divided in two parts, 82900 and 44, that added together give a square (82944 = 2882).

The spelling of 8290044 in words is "eight million, two hundred ninety thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 491 603 804 938 982 1206 1407 1473 1876 1964 2412 2814 2946 3437 4221 4419 5628 5892 6874 8442 8838 10311 13748 16884 17676 20622 30933 32897 41244 61866 65794 98691 123732 131588 197382 230279 296073 394764 460558 592146 690837 921116 1184292 1381674 2072511 2763348 4145022 8290044