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914628 = 2231113241
BaseRepresentation
bin11011111010011000100
31201110122010
43133103010
5213232003
631334220
710526361
oct3372304
91643563
10914628
115751a0
12381370
13260400
1419b468
15131003
hexdf4c4

914628 has 72 divisors (see below), whose sum is σ = 2582496. Its totient is φ = 249600.

The previous prime is 914611. The next prime is 914629. The reversal of 914628 is 826419.

914628 is a nontrivial binomial coefficient, being equal to C(1353, 2).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 914595 and 914604.

It is not an unprimeable number, because it can be changed into a prime (914629) by changing a digit.

914628 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 22288 + ... + 22328.

It is an arithmetic number, because the mean of its divisors is an integer number (35868).

2914628 is an apocalyptic number.

914628 is the 1352-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291248).

914628 is an abundant number, since it is smaller than the sum of its proper divisors (1667868).

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

914628 is a wasteful number, since it uses less digits than its factorization.

914628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 914628 is about 956.3618562030. The cubic root of 914628 is about 97.0692105342.

Subtracting from 914628 its reverse (826419), we obtain a square (88209 = 2972).

The spelling of 914628 in words is "nine hundred fourteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 41 44 52 66 78 82 123 132 143 156 164 169 246 286 338 429 451 492 507 533 572 676 858 902 1014 1066 1353 1599 1716 1804 1859 2028 2132 2706 3198 3718 5412 5577 5863 6396 6929 7436 11154 11726 13858 17589 20787 22308 23452 27716 35178 41574 70356 76219 83148 152438 228657 304876 457314 914628