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74616642 = 23237199563
BaseRepresentation
bin1000111001010…
…00111101000010
312012101220210100
410130220331002
5123100213032
611223143230
71564142142
oct434507502
9165356710
1074616642
1139134651
1220ba4b16
13125c6c79
149ca4922
15683d97c
hex4728f42

74616642 has 48 divisors (see below), whose sum is σ = 167169600. Its totient is φ = 24035616.

The previous prime is 74616637. The next prime is 74616643. The reversal of 74616642 is 24661647.

74616642 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74616597 and 74616606.

It is not an unprimeable number, because it can be changed into a prime (74616643) 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, 132253 + ... + 132815.

It is an arithmetic number, because the mean of its divisors is an integer number (3482700).

Almost surely, 274616642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74616642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83584800).

74616642 is an abundant number, since it is smaller than the sum of its proper divisors (92552958).

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

74616642 is a wasteful number, since it uses less digits than its factorization.

74616642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 804 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 74616642 is about 8638.0924977682. The cubic root of 74616642 is about 420.9965790181.

The spelling of 74616642 in words is "seventy-four million, six hundred sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 199 222 333 398 563 597 666 1126 1194 1689 1791 3378 3582 5067 7363 10134 14726 20831 22089 41662 44178 62493 66267 112037 124986 132534 187479 224074 336111 374958 672222 1008333 2016666 4145369 8290738 12436107 24872214 37308321 74616642