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189184944 = 243131372213
BaseRepresentation
bin10110100011010…
…11101110110000
3111011222120221210
423101223232300
5341412404234
630434520120
74455021414
oct1321535660
9434876853
10189184944
11978764a3
1253436040
133026b770
141b1a8d44
151191ebe9
hexb46bbb0

189184944 has 80 divisors (see below), whose sum is σ = 530403552. Its totient is φ = 57759744.

The previous prime is 189184943. The next prime is 189184981. The reversal of 189184944 is 449481981.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 189184893 and 189184902.

It is not an unprimeable number, because it can be changed into a prime (189184943) 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, 84382 + ... + 86594.

Almost surely, 2189184944 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 189184944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265201776).

189184944 is an abundant number, since it is smaller than the sum of its proper divisors (341218608).

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

189184944 is a wasteful number, since it uses less digits than its factorization.

189184944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2368 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 189184944 is about 13754.4517884211. The cubic root of 189184944 is about 574.0664817152.

The spelling of 189184944 in words is "one hundred eighty-nine million, one hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 208 274 312 411 548 624 822 1096 1644 1781 2192 2213 3288 3562 4426 5343 6576 6639 7124 8852 10686 13278 14248 17704 21372 26556 28496 28769 35408 42744 53112 57538 85488 86307 106224 115076 172614 230152 303181 345228 460304 606362 690456 909543 1212724 1380912 1819086 2425448 3638172 3941353 4850896 7276344 7882706 11824059 14552688 15765412 23648118 31530824 47296236 63061648 94592472 189184944