Search a number
-
+
96424812 = 223211376581
BaseRepresentation
bin1011011111101…
…01001101101100
320201102212222100
411233311031230
5144141043222
613322415100
72250411621
oct557651554
9221385870
1096424812
114a47a430
1228361490
1316c91403
14cb40348
1586ea4ac
hex5bf536c

96424812 has 72 divisors (see below), whose sum is σ = 273126672. Its totient is φ = 28425600.

The previous prime is 96424807. The next prime is 96424817. The reversal of 96424812 is 21842469.

96424812 is a `hidden beast` number, since 9 + 642 + 4 + 8 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (96424807) and next prime (96424817).

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

It is not an unprimeable number, because it can be changed into a prime (96424817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11362 + ... + 17942.

It is an arithmetic number, because the mean of its divisors is an integer number (3793426).

Almost surely, 296424812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96424812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136563336).

96424812 is an abundant number, since it is smaller than the sum of its proper divisors (176701860).

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

96424812 is a wasteful number, since it uses less digits than its factorization.

96424812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6634 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 96424812 is about 9819.6136380206. The cubic root of 96424812 is about 458.5601037011.

The spelling of 96424812 in words is "ninety-six million, four hundred twenty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 6581 7326 13162 14652 19743 26324 39486 59229 72391 78972 118458 144782 217173 236916 243497 289564 434346 486994 651519 730491 868692 973988 1303038 1460982 2191473 2606076 2678467 2921964 4382946 5356934 8035401 8765892 10713868 16070802 24106203 32141604 48212406 96424812