Search a number
-
+
74531016 = 233575477
BaseRepresentation
bin1000111000101…
…00000011001000
312012020120100000
410130110003020
5123034443031
611221243000
71563334410
oct434240310
9165216300
1074531016
113908628a
1220b63460
1312596cc1
149c81640
1568233e6
hex47140c8

74531016 has 96 divisors (see below), whose sum is σ = 239279040. Its totient is φ = 21290688.

The previous prime is 74531011. The next prime is 74531059. The reversal of 74531016 is 61013547.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (74531011) 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, 10870 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (2492490).

Almost surely, 274531016 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 74531016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119639520).

74531016 is an abundant number, since it is smaller than the sum of its proper divisors (164748024).

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

74531016 is a wasteful number, since it uses less digits than its factorization.

74531016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 74531016 is about 8633.1347724914. The cubic root of 74531016 is about 420.8354797873.

The spelling of 74531016 in words is "seventy-four million, five hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 5477 6804 10954 13608 16431 21908 32862 38339 43816 49293 65724 76678 98586 115017 131448 147879 153356 197172 230034 295758 306712 345051 394344 443637 460068 591516 690102 887274 920136 1035153 1183032 1330911 1380204 1774548 2070306 2661822 2760408 3105459 3549096 4140612 5323644 6210918 8281224 9316377 10647288 12421836 18632754 24843672 37265508 74531016