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189746656 = 25111737857
BaseRepresentation
bin10110100111101…
…00110111100000
3111020001010110221
423103310313200
5342033343111
630454532424
74462551151
oct1323646740
9436033427
10189746656
119811a520
1253667114
1330407338
141b2b3928
15119d1371
hexb4f4de0

189746656 has 96 divisors (see below), whose sum is σ = 443675232. Its totient is φ = 78888960.

The previous prime is 189746653. The next prime is 189746663. The reversal of 189746656 is 656647981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189746651) 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, 220980 + ... + 221836.

It is an arithmetic number, because the mean of its divisors is an integer number (4621617).

Almost surely, 2189746656 is an apocalyptic number.

189746656 is a gapful number since it is divisible by the number (16) 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 189746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221837616).

189746656 is an abundant number, since it is smaller than the sum of its proper divisors (253928576).

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

189746656 is a wasteful number, since it uses less digits than its factorization.

189746656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 189746656 is about 13774.8559339109. The cubic root of 189746656 is about 574.6340769472.

The spelling of 189746656 in words is "one hundred eighty-nine million, seven hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 37 44 68 74 88 136 148 176 187 272 296 352 374 407 544 592 629 748 814 857 1184 1258 1496 1628 1714 2516 2992 3256 3428 5032 5984 6512 6856 6919 9427 10064 13024 13712 13838 14569 18854 20128 27424 27676 29138 31709 37708 55352 58276 63418 75416 110704 116552 126836 150832 160259 221408 233104 253672 301664 320518 348799 466208 507344 539053 641036 697598 1014688 1078106 1282072 1395196 2156212 2564144 2790392 4312424 5128288 5580784 5929583 8624848 11161568 11859166 17249696 23718332 47436664 94873328 189746656