Search a number
-
+
96191424 = 2632723857
BaseRepresentation
bin1011011101111…
…00001111000000
320201000000211100
411232330033000
5144111111144
613313414400
72245420320
oct556741700
9221000740
1096191424
114a33004a
122826a400
1316c0c104
14cabd280
1586a1269
hex5bbc3c0

96191424 has 84 divisors (see below), whose sum is σ = 315116464. Its totient is φ = 27482112.

The previous prime is 96191413. The next prime is 96191429. The reversal of 96191424 is 42419169.

It is a happy number.

96191424 is a `hidden beast` number, since 9 + 619 + 14 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×961914242 = 18505580102295552, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96191429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7897 + ... + 15960.

Almost surely, 296191424 is an apocalyptic number.

It is an amenable number.

96191424 is an abundant number, since it is smaller than the sum of its proper divisors (218925040).

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

96191424 is a wasteful number, since it uses less digits than its factorization.

96191424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23882 (or 23869 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 96191424 is about 9807.7226714462. The cubic root of 96191424 is about 458.1898363195.

The spelling of 96191424 in words is "ninety-six million, one hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 23857 47714 71571 95428 143142 166999 190856 214713 286284 333998 381712 429426 500997 572568 667996 763424 858852 1001994 1145136 1335992 1502991 1526848 1717704 2003988 2290272 2671984 3005982 3435408 4007976 4580544 5343968 6011964 6870816 8015952 10687936 12023928 13741632 16031904 24047856 32063808 48095712 96191424