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75316016 = 24293741107
BaseRepresentation
bin1000111110100…
…11101100110000
312020201110011002
410133103230300
5123240103031
611250141132
71603114136
oct437235460
9166643132
1075316016
1139572046
12212817a8
13127b03b9
14a007756
15692accb
hex47d3b30

75316016 has 80 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 34191360.

The previous prime is 75315997. The next prime is 75316027. The reversal of 75316016 is 61061357.

It is a super-2 number, since 2×753160162 = 11345004532224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 75316016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703835 + ... + 703941.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 275316016 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 75316016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

75316016 is an abundant number, since it is smaller than the sum of its proper divisors (84986224).

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

75316016 is a wasteful number, since it uses less digits than its factorization.

75316016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 75316016 is about 8678.4800512532. The cubic root of 75316016 is about 422.3078098374.

The spelling of 75316016 in words is "seventy-five million, three hundred sixteen thousand, sixteen".

Divisors: 1 2 4 8 16 29 37 41 58 74 82 107 116 148 164 214 232 296 328 428 464 592 656 856 1073 1189 1517 1712 2146 2378 3034 3103 3959 4292 4387 4756 6068 6206 7918 8584 8774 9512 12136 12412 15836 17168 17548 19024 24272 24824 31672 35096 43993 49648 63344 70192 87986 114811 127223 162319 175972 229622 254446 324638 351944 459244 508892 649276 703888 918488 1017784 1298552 1836976 2035568 2597104 4707251 9414502 18829004 37658008 75316016