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190963008 = 26364093
BaseRepresentation
bin10110110000111…
…01110101000000
3111022022221000000
423120131311000
5342341304013
630541000000
74506105315
oct1330356500
9438287000
10190963008
1198880375
1253b53000
1330741b82
141b50cd0c
1511b71973
hexb61dd40

190963008 has 98 divisors (see below), whose sum is σ = 568292234. Its totient is φ = 63638784.

The previous prime is 190962991. The next prime is 190963033. The reversal of 190963008 is 800369091.

190963008 is a `hidden beast` number, since 19 + 0 + 9 + 630 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156950784 + 34012224 = 12528^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44610 + ... + 48702.

Almost surely, 2190963008 is an apocalyptic number.

190963008 is a gapful number since it is divisible by the number (18) 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 190963008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284146117).

190963008 is an abundant number, since it is smaller than the sum of its proper divisors (377329226).

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

190963008 is an frugal number, since it uses more digits than its factorization.

190963008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 190963008 is about 13818.9365726889. The cubic root of 190963008 is about 575.8593406537.

The spelling of 190963008 in words is "one hundred ninety million, nine hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 4093 5184 5832 7776 8186 11664 12279 15552 16372 23328 24558 32744 36837 46656 49116 65488 73674 98232 110511 130976 147348 196464 221022 261952 294696 331533 392928 442044 589392 663066 785856 884088 994599 1178784 1326132 1768176 1989198 2357568 2652264 2983797 3536352 3978396 5304528 5967594 7072704 7956792 10609056 11935188 15913584 21218112 23870376 31827168 47740752 63654336 95481504 190963008