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190881792 = 21333863
BaseRepresentation
bin10110110000010…
…10000000000000
3111022011210121000
423120022000000
5342331204132
630535132000
74505316453
oct1330120000
9438153530
10190881792
1198825352
1253b14000
1330713c0a
141b4cb49a
1511b5787c
hexb60a000

190881792 has 112 divisors (see below), whose sum is σ = 566196480. Its totient is φ = 63553536.

The previous prime is 190881791. The next prime is 190881811. The reversal of 190881792 is 297188091.

It is not an unprimeable number, because it can be changed into a prime (190881791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220753 + ... + 221615.

Almost surely, 2190881792 is an apocalyptic number.

190881792 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 190881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283098240).

190881792 is an abundant number, since it is smaller than the sum of its proper divisors (375314688).

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

190881792 is an frugal number, since it uses more digits than its factorization.

190881792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 190881792 is about 13815.9976838446. The cubic root of 190881792 is about 575.7776919887. Note that the first 3 decimals are identical.

The spelling of 190881792 in words is "one hundred ninety million, eight hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 863 864 1024 1152 1536 1726 1728 2048 2304 2589 3072 3452 3456 4096 4608 5178 6144 6904 6912 7767 8192 9216 10356 12288 13808 13824 15534 18432 20712 23301 24576 27616 27648 31068 36864 41424 46602 55232 55296 62136 73728 82848 93204 110464 110592 124272 165696 186408 220928 221184 248544 331392 372816 441856 497088 662784 745632 883712 994176 1325568 1491264 1767424 1988352 2651136 2982528 3534848 3976704 5302272 5965056 7069696 7953408 10604544 11930112 15906816 21209088 23860224 31813632 47720448 63627264 95440896 190881792