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764028 = 2232191117
BaseRepresentation
bin10111010100001111100
31102211001100
42322201330
5143422103
624213100
76331326
oct2724174
91384040
10764028
11482031
1230a190
132099b5
1415c616
151015a3
hexba87c

764028 has 36 divisors (see below), whose sum is σ = 2034760. Its totient is φ = 241056.

The previous prime is 764021. The next prime is 764041. The reversal of 764028 is 820467.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×7640284 (a number of 25 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 763992 and 764010.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 764028.

It is not an unprimeable number, because it can be changed into a prime (764021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 126 + ... + 1242.

2764028 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 764028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017380).

764028 is an abundant number, since it is smaller than the sum of its proper divisors (1270732).

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

764028 is a wasteful number, since it uses less digits than its factorization.

764028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 764028 is about 874.0869521964. The cubic root of 764028 is about 91.4189912767.

The spelling of 764028 in words is "seven hundred sixty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1117 2234 3351 4468 6702 10053 13404 20106 21223 40212 42446 63669 84892 127338 191007 254676 382014 764028