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74956 = 2272677
BaseRepresentation
bin10010010011001100
310210211011
4102103030
54344311
61335004
7431350
oct222314
9123734
1074956
1151352
1237464
132816b
141d460
1517321
hex124cc

74956 has 12 divisors (see below), whose sum is σ = 149968. Its totient is φ = 32112.

The previous prime is 74941. The next prime is 74959. The reversal of 74956 is 65947.

74956 is an admirable number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (74959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1311 + ... + 1366.

274956 is an apocalyptic number.

It is an amenable number.

74956 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74984).

74956 is a wasteful number, since it uses less digits than its factorization.

74956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2686 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 74956 is about 273.7809343252. The cubic root of 74956 is about 42.1633847547.

Subtracting from 74956 its reverse (65947), we obtain a palindrome (9009).

The spelling of 74956 in words is "seventy-four thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 2677 5354 10708 18739 37478 74956