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96442192 = 24721153211
BaseRepresentation
bin1011011111110…
…01011101010000
320201110202211001
411233321131100
5144142122232
613323031344
72250513400
oct557713520
9221422731
1096442192
114a4914a0
122836b554
1316c992b2
14cb46800
1587006e7
hex5bf9750

96442192 has 120 divisors (see below), whose sum is σ = 242743392. Its totient is φ = 36691200.

The previous prime is 96442183. The next prime is 96442193. The reversal of 96442192 is 29124469.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96442193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456967 + ... + 457177.

Almost surely, 296442192 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 96442192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121371696).

96442192 is an abundant number, since it is smaller than the sum of its proper divisors (146301200).

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

96442192 is a wasteful number, since it uses less digits than its factorization.

96442192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 96442192 is about 9820.4985616821. The cubic root of 96442192 is about 458.5876529582.

The spelling of 96442192 in words is "ninety-six million, four hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 53 56 77 88 98 106 112 154 176 196 211 212 308 371 392 422 424 539 583 616 742 784 844 848 1078 1166 1232 1477 1484 1688 2156 2321 2332 2597 2954 2968 3376 4081 4312 4642 4664 5194 5908 5936 8162 8624 9284 9328 10339 10388 11183 11816 16247 16324 18568 20678 20776 22366 23632 28567 32494 32648 37136 41356 41552 44732 57134 64988 65296 78281 82712 89464 113729 114268 123013 129976 156562 165424 178928 227458 228536 246026 259952 313124 454916 457072 492052 547967 626248 861091 909832 984104 1095934 1252496 1722182 1819664 1968208 2191868 3444364 4383736 6027637 6888728 8767472 12055274 13777456 24110548 48221096 96442192