Search a number
-
+
742764 = 2231117331
BaseRepresentation
bin10110101010101101100
31101201212210
42311111230
5142232024
623530420
76212331
oct2652554
91351783
10742764
11468060
122b9a10
13200109
14154988
15ea129
hexb556c

742764 has 48 divisors (see below), whose sum is σ = 2007936. Its totient is φ = 211200.

The previous prime is 742759. The next prime is 742783. The reversal of 742764 is 467247.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2079 + ... + 2409.

It is an arithmetic number, because the mean of its divisors is an integer number (41832).

2742764 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 742764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003968).

742764 is an abundant number, since it is smaller than the sum of its proper divisors (1265172).

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

742764 is a wasteful number, since it uses less digits than its factorization.

742764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 742764 is about 861.8375717036. The cubic root of 742764 is about 90.5628918882.

The spelling of 742764 in words is "seven hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 331 374 561 662 748 993 1122 1324 1986 2244 3641 3972 5627 7282 10923 11254 14564 16881 21846 22508 33762 43692 61897 67524 123794 185691 247588 371382 742764