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190195392 = 2633741653
BaseRepresentation
bin10110101011000…
…10011011000000
3111020212221000210
423111202123000
5342142223032
630512314120
74466430342
oct1325423300
9436787023
10190195392
11983a6682
1253842940
133053366a
141b38d292
1511a6e2cc
hexb5626c0

190195392 has 112 divisors (see below), whose sum is σ = 530242272. Its totient is φ = 60088320.

The previous prime is 190195391. The next prime is 190195399. The reversal of 190195392 is 293591091.

190195392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 190195392.

It is not an unprimeable number, because it can be changed into a prime (190195391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290938 + ... + 291590.

It is an arithmetic number, because the mean of its divisors is an integer number (4734306).

Almost surely, 2190195392 is an apocalyptic number.

190195392 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 190195392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265121136).

190195392 is an abundant number, since it is smaller than the sum of its proper divisors (340046880).

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

190195392 is a wasteful number, since it uses less digits than its factorization.

190195392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 190195392 is about 13791.1345436117. The cubic root of 190195392 is about 575.0867085370.

The spelling of 190195392 in words is "one hundred ninety million, one hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 64 74 82 96 111 123 148 164 192 222 246 296 328 444 492 592 653 656 888 984 1184 1306 1312 1517 1776 1959 1968 2368 2612 2624 3034 3552 3918 3936 4551 5224 6068 7104 7836 7872 9102 10448 12136 15672 18204 20896 24161 24272 26773 31344 36408 41792 48322 48544 53546 62688 72483 72816 80319 96644 97088 107092 125376 144966 145632 160638 193288 214184 289932 291264 321276 386576 428368 579864 642552 773152 856736 990601 1159728 1285104 1546304 1713472 1981202 2319456 2570208 2971803 3962404 4638912 5140416 5943606 7924808 11887212 15849616 23774424 31699232 47548848 63398464 95097696 190195392