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190046864 = 24731127431
BaseRepresentation
bin10110101001111…
…10001010010000
3111020121101021202
423110332022100
5342122444424
630505210332
74465241330
oct1324761220
9436541252
10190046864
1198305027
12537909a8
13304b0b87
141b3510c0
1511a402ae
hexb53e290

190046864 has 80 divisors (see below), whose sum is σ = 438829056. Its totient is φ = 78019200.

The previous prime is 190046851. The next prime is 190046869. The reversal of 190046864 is 468640091.

It is a super-2 number, since 2×1900468642 = 72235621032468992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190046869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 440729 + ... + 441159.

Almost surely, 2190046864 is an apocalyptic number.

190046864 is a gapful number since it is divisible by the number (14) 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 190046864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219414528).

190046864 is an abundant number, since it is smaller than the sum of its proper divisors (248782192).

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

190046864 is a wasteful number, since it uses less digits than its factorization.

190046864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 190046864 is about 13785.7485832290. The cubic root of 190046864 is about 574.9369700287.

The spelling of 190046864 in words is "one hundred ninety million, forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 127 217 248 254 431 434 496 508 862 868 889 1016 1724 1736 1778 2032 3017 3448 3472 3556 3937 6034 6896 7112 7874 12068 13361 14224 15748 24136 26722 27559 31496 48272 53444 54737 55118 62992 93527 106888 109474 110236 187054 213776 218948 220472 374108 383159 437896 440944 748216 766318 875792 1496432 1532636 1696847 3065272 3393694 6130544 6787388 11877929 13574776 23755858 27149552 47511716 95023432 190046864