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96249088 = 281328921
BaseRepresentation
bin1011011110010…
…10010100000000
320201002221221001
411233022110000
5144114432323
613314541344
72246050405
oct557122400
9221087831
1096249088
114a36a401
1228297854
1316c2c430
14cad62ac
1586b33ad
hex5bca500

96249088 has 36 divisors (see below), whose sum is σ = 206907988. Its totient is φ = 44421120.

The previous prime is 96249067. The next prime is 96249107. The reversal of 96249088 is 88094269.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 54878464 = 6432^2 + 7408^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11133 + ... + 17788.

Almost surely, 296249088 is an apocalyptic number.

It is an amenable number.

96249088 is an abundant number, since it is smaller than the sum of its proper divisors (110658900).

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

96249088 is a wasteful number, since it uses less digits than its factorization.

96249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28950 (or 28936 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 96249088 is about 9810.6619552403. The cubic root of 96249088 is about 458.2813752524.

It can be divided in two parts, 962490 and 88, that added together give a triangular number (962578 = T1387).

The spelling of 96249088 in words is "ninety-six million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 28921 57842 115684 231368 375973 462736 751946 925472 1503892 1850944 3007784 3701888 6015568 7403776 12031136 24062272 48124544 96249088