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96148104 = 23313349883
BaseRepresentation
bin1011011101100…
…01101010001000
320200220211101220
411232301222020
5144103214404
613312442040
72245150113
oct556615210
9220824356
1096148104
114a300548
1228249320
1316bc5490
14caab57a
1586934d9
hex5bb1a88

96148104 has 64 divisors (see below), whose sum is σ = 259896000. Its totient is φ = 29465856.

The previous prime is 96148103. The next prime is 96148123. The reversal of 96148104 is 40184169.

It is not an unprimeable number, because it can be changed into a prime (96148103) 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, 108447 + ... + 109329.

It is an arithmetic number, because the mean of its divisors is an integer number (4060875).

Almost surely, 296148104 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 96148104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129948000).

96148104 is an abundant number, since it is smaller than the sum of its proper divisors (163747896).

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

96148104 is a wasteful number, since it uses less digits than its factorization.

96148104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 96148104 is about 9805.5139589927. The cubic root of 96148104 is about 458.1210437554.

The spelling of 96148104 in words is "ninety-six million, one hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 349 698 883 1047 1396 1766 2094 2649 2792 3532 4188 4537 5298 7064 8376 9074 10596 11479 13611 18148 21192 22958 27222 34437 36296 45916 54444 68874 91832 108888 137748 275496 308167 616334 924501 1232668 1849002 2465336 3698004 4006171 7396008 8012342 12018513 16024684 24037026 32049368 48074052 96148104