Search a number
-
+
8902272 = 27397239
BaseRepresentation
bin100001111101…
…011010000000
3121202021121210
4201331122000
54234333042
6514450120
7135445101
oct41753200
917667553
108902272
115030455
122b93940
131ac9022
14127a3a8
15baca9c
hex87d680

8902272 has 64 divisors (see below), whose sum is σ = 23990400. Its totient is φ = 2924544.

The previous prime is 8902261. The next prime is 8902297. The reversal of 8902272 is 2722098.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37129 + ... + 37367.

It is an arithmetic number, because the mean of its divisors is an integer number (374850).

Almost surely, 28902272 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 8902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995200).

8902272 is an abundant number, since it is smaller than the sum of its proper divisors (15088128).

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

8902272 is a wasteful number, since it uses less digits than its factorization.

8902272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8902272 is about 2983.6675418015. The cubic root of 8902272 is about 207.2527426939.

The spelling of 8902272 in words is "eight million, nine hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 239 291 384 388 478 582 717 776 956 1164 1434 1552 1912 2328 2868 3104 3824 4656 5736 6208 7648 9312 11472 12416 15296 18624 22944 23183 30592 37248 45888 46366 69549 91776 92732 139098 185464 278196 370928 556392 741856 1112784 1483712 2225568 2967424 4451136 8902272