Search a number
-
+
96934752 = 2533151743
BaseRepresentation
bin1011100011100…
…01101101100000
320202101210111000
411301301231200
5144303403002
613341352000
72254634415
oct561615540
9222353430
1096934752
114a798572
1228568600
131710c555
14cc3410c
15879b61c
hex5c71b60

96934752 has 96 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 32054400.

The previous prime is 96934703. The next prime is 96934753. The reversal of 96934752 is 25743969.

It is a happy number.

96934752 is a `hidden beast` number, since 96 + 93 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×969347522 = 18792692290603008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96934698 and 96934707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96934753) 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, 130093 + ... + 130835.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 296934752 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 96934752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

96934752 is an abundant number, since it is smaller than the sum of its proper divisors (188047008).

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

96934752 is a wasteful number, since it uses less digits than its factorization.

96934752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 96934752 is about 9845.5447792390. The cubic root of 96934752 is about 459.3670437606.

It can be divided in two parts, 969 and 34752, that added together give a square (35721 = 1892).

The spelling of 96934752 in words is "ninety-six million, nine hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 151 216 288 302 432 453 604 743 864 906 1208 1359 1486 1812 2229 2416 2718 2972 3624 4077 4458 4832 5436 5944 6687 7248 8154 8916 10872 11888 13374 14496 16308 17832 20061 21744 23776 26748 32616 35664 40122 43488 53496 65232 71328 80244 106992 112193 130464 160488 213984 224386 320976 336579 448772 641952 673158 897544 1009737 1346316 1795088 2019474 2692632 3029211 3590176 4038948 5385264 6058422 8077896 10770528 12116844 16155792 24233688 32311584 48467376 96934752