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190631952 = 24327227017
BaseRepresentation
bin10110101110011…
…01000000010000
3111021201002212200
423113031000100
5342300210302
630525523200
74503226200
oct1327150020
9437632780
10190631952
1198674675
1253a13500
1330657294
141b464400
1511b0881c
hexb5cd010

190631952 has 90 divisors (see below), whose sum is σ = 620630478. Its totient is φ = 54464256.

The previous prime is 190631939. The next prime is 190631963. The reversal of 190631952 is 259136091.

190631952 is a `hidden beast` number, since 19 + 0 + 631 + 9 + 5 + 2 = 666.

190631952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 189778176 + 853776 = 13776^2 + 924^2 .

It is a super-2 number, since 2×1906319522 = 72681082246660608, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6453 + ... + 20564.

Almost surely, 2190631952 is an apocalyptic number.

190631952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190631952 is an abundant number, since it is smaller than the sum of its proper divisors (429998526).

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

190631952 is a wasteful number, since it uses less digits than its factorization.

190631952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27045 (or 27029 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 190631952 is about 13806.9530309913. The cubic root of 190631952 is about 575.5263757086.

The spelling of 190631952 in words is "one hundred ninety million, six hundred thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 27017 54034 81051 108068 162102 189119 216136 243153 324204 378238 432272 486306 567357 648408 756476 972612 1134714 1296816 1323833 1512952 1702071 1945224 2269428 2647666 3025904 3404142 3890448 3971499 4538856 5295332 6808284 7942998 9077712 10590664 11914497 13616568 15885996 21181328 23828994 27233136 31771992 47657988 63543984 95315976 190631952