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96925416 = 23376779109
BaseRepresentation
bin1011100011011…
…11011011101000
320202101022200020
411301233123220
5144303103131
613341240440
72254565250
oct561573350
9222338606
1096925416
114a791555
1228563120
1317108223
14cc30960
158798996
hex5c6f6e8

96925416 has 128 divisors (see below), whose sum is σ = 287232000. Its totient is φ = 26687232.

The previous prime is 96925373. The next prime is 96925417. The reversal of 96925416 is 61452969.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (96925417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889170 + ... + 889278.

It is an arithmetic number, because the mean of its divisors is an integer number (2244000).

Almost surely, 296925416 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 96925416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143616000).

96925416 is an abundant number, since it is smaller than the sum of its proper divisors (190306584).

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

96925416 is a wasteful number, since it uses less digits than its factorization.

96925416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 96925416 is about 9845.0706447440. The cubic root of 96925416 is about 459.3522957357.

The spelling of 96925416 in words is "ninety-six million, nine hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 79 84 109 134 158 168 201 218 237 268 316 327 402 436 469 474 536 553 632 654 763 804 872 938 948 1106 1308 1407 1526 1608 1659 1876 1896 2212 2289 2616 2814 3052 3318 3752 4424 4578 5293 5628 6104 6636 7303 8611 9156 10586 11256 13272 14606 15879 17222 18312 21172 21909 25833 29212 31758 34444 37051 42344 43818 51121 51666 58424 60277 63516 68888 74102 87636 102242 103332 111153 120554 127032 148204 153363 175272 180831 204484 206664 222306 241108 296408 306726 361662 408968 444612 482216 576937 613452 723324 889224 1153874 1226904 1446648 1730811 2307748 3461622 4038559 4615496 6923244 8077118 12115677 13846488 16154236 24231354 32308472 48462708 96925416