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190528512 = 2103109569
BaseRepresentation
bin10110101101100…
…11110000000000
3111021111211222120
423112303300000
5342233403022
630523404240
74502315466
oct1326636000
9437454876
10190528512
1198603989
1253983680
133061c185
141b438836
1511ad7d5c
hexb5b3c00

190528512 has 88 divisors (see below), whose sum is σ = 513387600. Its totient is φ = 62816256.

The previous prime is 190528501. The next prime is 190528519. The reversal of 190528512 is 215825091.

It is a super-2 number, since 2×1905285122 = 72602227769868288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190528519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334564 + ... + 335132.

It is an arithmetic number, because the mean of its divisors is an integer number (5833950).

Almost surely, 2190528512 is an apocalyptic number.

190528512 is a gapful number since it is divisible by the number (12) 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 190528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256693800).

190528512 is an abundant number, since it is smaller than the sum of its proper divisors (322859088).

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

190528512 is a wasteful number, since it uses less digits than its factorization.

190528512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 190528512 is about 13803.2065839790. The cubic root of 190528512 is about 575.4222602151.

The spelling of 190528512 in words is "one hundred ninety million, five hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 512 569 654 768 872 1024 1138 1308 1536 1707 1744 2276 2616 3072 3414 3488 4552 5232 6828 6976 9104 10464 13656 13952 18208 20928 27312 27904 36416 41856 54624 55808 62021 72832 83712 109248 111616 124042 145664 167424 186063 218496 248084 291328 334848 372126 436992 496168 582656 744252 873984 992336 1488504 1747968 1984672 2977008 3969344 5954016 7938688 11908032 15877376 23816064 31754752 47632128 63509504 95264256 190528512