Search a number
-
+
96212832 = 2537313729
BaseRepresentation
bin1011011110000…
…01011101100000
320201001010012020
411233001131200
5144112302312
613314101440
72245536612
oct557013540
9221033166
1096212832
114a345141
122827a880
1316c18a91
14cac6db2
1586a778c
hex5bc1760

96212832 has 48 divisors (see below), whose sum is σ = 256037040. Its totient is φ = 31629312.

The previous prime is 96212813. The next prime is 96212849. The reversal of 96212832 is 23821269.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×962128323 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96212793 and 96212802.

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 7 ways as a sum of consecutive naturals, for example, 144 + ... + 13872.

It is an arithmetic number, because the mean of its divisors is an integer number (5334105).

Almost surely, 296212832 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 96212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128018520).

96212832 is an abundant number, since it is smaller than the sum of its proper divisors (159824208).

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

96212832 is a wasteful number, since it uses less digits than its factorization.

96212832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815 (or 13807 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 96212832 is about 9808.8139955858. The cubic root of 96212832 is about 458.2238247980.

The spelling of 96212832 in words is "ninety-six million, two hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 13729 27458 41187 54916 82374 109832 164748 219664 329496 439328 658992 1002217 1317984 2004434 3006651 4008868 6013302 8017736 12026604 16035472 24053208 32070944 48106416 96212832