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189847952 = 24721032351
BaseRepresentation
bin10110101000011…
…01100110010000
3111020020021102122
423110031212100
5342100113302
630501033412
74463452400
oct1324154620
9436207378
10189847952
1198189638
12536b5868
1330441488
141b2dc800
1511a013a2
hexb50d990

189847952 has 60 divisors (see below), whose sum is σ = 432222336. Its totient is φ = 80539200.

The previous prime is 189847877. The next prime is 189847969. The reversal of 189847952 is 259748981.

189847952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 189847894 and 189847903.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79577 + ... + 81927.

Almost surely, 2189847952 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 189847952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

189847952 is an abundant number, since it is smaller than the sum of its proper divisors (242374384).

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

189847952 is a wasteful number, since it uses less digits than its factorization.

189847952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2463 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 53.

The square root of 189847952 is about 13778.5322875842. The cubic root of 189847952 is about 574.7363146355.

The spelling of 189847952 in words is "one hundred eighty-nine million, eight hundred forty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 196 206 392 412 721 784 824 1442 1648 2351 2884 4702 5047 5768 9404 10094 11536 16457 18808 20188 32914 37616 40376 65828 80752 115199 131656 230398 242153 263312 460796 484306 921592 968612 1695071 1843184 1937224 3390142 3874448 6780284 11865497 13560568 23730994 27121136 47461988 94923976 189847952