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96400752 = 24371132539
BaseRepresentation
bin1011011111011…
…11010101110000
320201101122222020
411233233111300
5144134311002
613322111440
72250251520
oct557572560
9221348866
1096400752
114a463348
122834b580
1316c83486
14cb35680
1586e32bc
hex5bef570

96400752 has 80 divisors (see below), whose sum is σ = 287243520. Its totient is φ = 27288576.

The previous prime is 96400663. The next prime is 96400753. The reversal of 96400752 is 25700469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96400753) 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 15 ways as a sum of consecutive naturals, for example, 36699 + ... + 39237.

It is an arithmetic number, because the mean of its divisors is an integer number (3590544).

Almost surely, 296400752 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 96400752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143621760).

96400752 is an abundant number, since it is smaller than the sum of its proper divisors (190842768).

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

96400752 is a wasteful number, since it uses less digits than its factorization.

96400752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 96400752 is about 9818.3884624718. The cubic root of 96400752 is about 458.5219604278.

Adding to 96400752 its reverse (25700469), we get a palindrome (122101221).

The spelling of 96400752 in words is "ninety-six million, four hundred thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2539 2712 3164 4746 5078 5424 6328 7617 9492 10156 12656 15234 17773 18984 20312 30468 35546 37968 40624 53319 60936 71092 106638 121872 142184 213276 284368 286907 426552 573814 853104 860721 1147628 1721442 2008349 2295256 3442884 4016698 4590512 6025047 6885768 8033396 12050094 13771536 16066792 24100188 32133584 48200376 96400752