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1428804 = 2232134371
BaseRepresentation
bin101011100110101000100
32200120221200
411130311010
5331210204
650342500
715100416
oct5346504
92616850
101428804
11896533
1258aa30
133b0460
142929b6
151d3539
hex15cd44

1428804 has 72 divisors (see below), whose sum is σ = 4036032. Its totient is φ = 423360.

The previous prime is 1428793. The next prime is 1428811. The reversal of 1428804 is 4088241.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20089 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (56056).

21428804 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 1428804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018016).

1428804 is an abundant number, since it is smaller than the sum of its proper divisors (2607228).

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

1428804 is a wasteful number, since it uses less digits than its factorization.

1428804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1428804 is about 1195.3258969837. The cubic root of 1428804 is about 112.6308994846.

It can be divided in two parts, 142880 and 4, that added together give a square (142884 = 3782).

The spelling of 1428804 in words is "one million, four hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 71 78 86 117 129 142 156 172 213 234 258 284 387 426 468 516 559 639 774 852 923 1118 1278 1548 1677 1846 2236 2556 2769 3053 3354 3692 5031 5538 6106 6708 8307 9159 10062 11076 12212 16614 18318 20124 27477 33228 36636 39689 54954 79378 109908 119067 158756 238134 357201 476268 714402 1428804