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42599328 = 2534179137
BaseRepresentation
bin1010001010000…
…0001110100000
32222011021021220
42202200032200
541401134303
64121015040
71025042202
oct242401640
988137256
1042599328
1122056562
1212324480
138a96a05
14592c772
153b17053
hex28a03a0

42599328 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 13578240.

The previous prime is 42599309. The next prime is 42599329. The reversal of 42599328 is 82399524.

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

Its product of digits (155520) is a multiple of the sum of its prime factors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 42599328.

It is not an unprimeable number, because it can be changed into a prime (42599329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310876 + ... + 311012.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 242599328 is an apocalyptic number.

42599328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42599328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

42599328 is an abundant number, since it is smaller than the sum of its proper divisors (74248032).

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

42599328 is a wasteful number, since it uses less digits than its factorization.

42599328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 42599328 is about 6526.8160691106. The cubic root of 42599328 is about 349.2482586504.

The spelling of 42599328 in words is "forty-two million, five hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 79 82 96 123 137 158 164 237 246 274 316 328 411 474 492 548 632 656 822 948 984 1096 1264 1312 1644 1896 1968 2192 2528 3239 3288 3792 3936 4384 5617 6478 6576 7584 9717 10823 11234 12956 13152 16851 19434 21646 22468 25912 32469 33702 38868 43292 44936 51824 64938 67404 77736 86584 89872 103648 129876 134808 155472 173168 179744 259752 269616 310944 346336 443743 519504 539232 887486 1039008 1331229 1774972 2662458 3549944 5324916 7099888 10649832 14199776 21299664 42599328