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189014496 = 25311712521
BaseRepresentation
bin10110100010000…
…10000111100000
3111011122221010220
423101002013200
5341341430441
630431123040
74453411446
oct1321020740
9434587126
10189014496
119776a430
1253373480
133020bcc8
141b162b96
15118d9466
hexb4421e0

189014496 has 96 divisors (see below), whose sum is σ = 549110016. Its totient is φ = 56448000.

The previous prime is 189014477. The next prime is 189014503. The reversal of 189014496 is 694410981.

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

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, 73716 + ... + 76236.

It is an arithmetic number, because the mean of its divisors is an integer number (5719896).

Almost surely, 2189014496 is an apocalyptic number.

189014496 is a gapful number since it is divisible by the number (16) 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 189014496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274555008).

189014496 is an abundant number, since it is smaller than the sum of its proper divisors (360095520).

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

189014496 is a wasteful number, since it uses less digits than its factorization.

189014496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 189014496 is about 13748.2542891816. The cubic root of 189014496 is about 573.8940263352.

The spelling of 189014496 in words is "one hundred eighty-nine million, fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1562 1704 2272 2343 2521 3124 3408 4686 5042 6248 6816 7563 9372 10084 12496 15126 18744 20168 24992 27731 30252 37488 40336 55462 60504 74976 80672 83193 110924 121008 166386 178991 221848 242016 332772 357982 443696 536973 665544 715964 887392 1073946 1331088 1431928 1968901 2147892 2662176 2863856 3937802 4295784 5727712 5906703 7875604 8591568 11813406 15751208 17183136 23626812 31502416 47253624 63004832 94507248 189014496