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901989368 = 237891371321
BaseRepresentation
bin110101110000110…
…100001111111000
32022212020210210122
4311300310033320
53321402124433
6225300432412
731231532420
oct6560641770
92285223718
10901989368
11423170a65
122120a8708
13114b42027
1487b17480
15542c1198
hex35c343f8

901989368 has 64 divisors (see below), whose sum is σ = 1970308800. Its totient is φ = 379146240.

The previous prime is 901989359. The next prime is 901989379. The reversal of 901989368 is 863989109.

It is a super-4 number, since 4×9019893684 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682148 + ... + 683468.

It is an arithmetic number, because the mean of its divisors is an integer number (30786075).

Almost surely, 2901989368 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 901989368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985154400).

901989368 is an abundant number, since it is smaller than the sum of its proper divisors (1068319432).

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

901989368 is a wasteful number, since it uses less digits than its factorization.

901989368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 53.

The square root of 901989368 is about 30033.1378314022. The cubic root of 901989368 is about 966.2002365441.

The spelling of 901989368 in words is "nine hundred one million, nine hundred eighty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 89 137 178 274 356 548 623 712 959 1096 1246 1321 1918 2492 2642 3836 4984 5284 7672 9247 10568 12193 18494 24386 36988 48772 73976 85351 97544 117569 170702 180977 235138 341404 361954 470276 682808 723908 822983 940552 1266839 1447816 1645966 2533678 3291932 5067356 6583864 10134712 16106953 32213906 64427812 112748671 128855624 225497342 450994684 901989368