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96736992 = 25311101907
BaseRepresentation
bin1011100010000…
…01011011100000
320202000202012120
411301001123200
5144231040432
613333224240
72253152022
oct561013340
9222022176
1096736992
114a672a30
1228492080
1317070531
14cbc2012
15875cc2c
hex5c416e0

96736992 has 96 divisors (see below), whose sum is σ = 280070784. Its totient is φ = 28992000.

The previous prime is 96736967. The next prime is 96736993. The reversal of 96736992 is 29963769.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96736993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106203 + ... + 107109.

It is an arithmetic number, because the mean of its divisors is an integer number (2917404).

Almost surely, 296736992 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 96736992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140035392).

96736992 is an abundant number, since it is smaller than the sum of its proper divisors (183333792).

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

96736992 is a wasteful number, since it uses less digits than its factorization.

96736992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 51.

The square root of 96736992 is about 9835.4965304249. The cubic root of 96736992 is about 459.0544407876.

The spelling of 96736992 in words is "ninety-six million, seven hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 907 1056 1111 1212 1616 1814 2222 2424 2721 3232 3333 3628 4444 4848 5442 6666 7256 8888 9696 9977 10884 13332 14512 17776 19954 21768 26664 29024 29931 35552 39908 43536 53328 59862 79816 87072 91607 106656 119724 159632 183214 239448 274821 319264 366428 478896 549642 732856 957792 1007677 1099284 1465712 2015354 2198568 2931424 3023031 4030708 4397136 6046062 8061416 8794272 12092124 16122832 24184248 32245664 48368496 96736992