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1904628 = 2231147307
BaseRepresentation
bin111010000111111110100
310120202122210
413100333310
5441422003
6104453420
722121565
oct7207764
93522583
101904628
111090a80
1277a270
13518bcb
1437816c
15279503
hex1d0ff4

1904628 has 48 divisors (see below), whose sum is σ = 4967424. Its totient is φ = 563040.

The previous prime is 1904621. The next prime is 1904647. The reversal of 1904628 is 8264091.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1904595 and 1904604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6051 + ... + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (103488).

21904628 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 1904628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483712).

1904628 is an abundant number, since it is smaller than the sum of its proper divisors (3062796).

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

1904628 is a wasteful number, since it uses less digits than its factorization.

1904628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

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

The square root of 1904628 is about 1380.0826062233. The cubic root of 1904628 is about 123.9567139931.

The spelling of 1904628 in words is "one million, nine hundred four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 307 517 564 614 921 1034 1228 1551 1842 2068 3102 3377 3684 6204 6754 10131 13508 14429 20262 28858 40524 43287 57716 86574 158719 173148 317438 476157 634876 952314 1904628