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189544992 = 25371321669
BaseRepresentation
bin10110100110000…
…11101000100000
3111012122212211220
423103003220200
5342010414432
630450335040
74461051210
oct1323035040
9435585756
10189544992
1197aa1a5a
125358a480
1330366600
141b260240
151199172c
hexb4c3a20

189544992 has 144 divisors (see below), whose sum is σ = 616109760. Its totient is φ = 49959936.

The previous prime is 189544981. The next prime is 189545003. The reversal of 189544992 is 299445981.

It is an interprime number because it is at equal distance from previous prime (189544981) and next prime (189545003).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112734 + ... + 114402.

It is an arithmetic number, because the mean of its divisors is an integer number (4278540).

Almost surely, 2189544992 is an apocalyptic number.

189544992 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 189544992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308054880).

189544992 is an abundant number, since it is smaller than the sum of its proper divisors (426564768).

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

189544992 is a wasteful number, since it uses less digits than its factorization.

189544992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1694 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 189544992 is about 13767.5339839784. The cubic root of 189544992 is about 574.4304298195.

The spelling of 189544992 in words is "one hundred eighty-nine million, five hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 1669 2028 2184 2366 2704 2912 3338 3549 4056 4368 4732 5007 5408 6676 7098 8112 8736 9464 10014 11683 13352 14196 16224 18928 20028 21697 23366 26704 28392 35049 37856 40056 43394 46732 53408 56784 65091 70098 80112 86788 93464 113568 130182 140196 151879 160224 173576 186928 260364 280392 282061 303758 347152 373856 455637 520728 560784 564122 607516 694304 846183 911274 1041456 1121568 1128244 1215032 1692366 1822548 1974427 2082912 2256488 2430064 3384732 3645096 3948854 4512976 4860128 5923281 6769464 7290192 7897708 9025952 11846562 13538928 14580384 15795416 23693124 27077856 31590832 47386248 63181664 94772496 189544992