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8390628 = 2234192947
BaseRepresentation
bin100000000000…
…011111100100
3120210021210000
4200000133210
54122000003
6455501300
7131214321
oct40003744
916707700
108390628
114811004
122987830
13197a18c
141185b48
15b0b1a3
hex8007e4

8390628 has 120 divisors (see below), whose sum is σ = 24393600. Its totient is φ = 2503872.

The previous prime is 8390623. The next prime is 8390663. The reversal of 8390628 is 8260938.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8390592 and 8390601.

It is not an unprimeable number, because it can be changed into a prime (8390623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178501 + ... + 178547.

It is an arithmetic number, because the mean of its divisors is an integer number (203280).

Almost surely, 28390628 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 8390628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196800).

8390628 is an abundant number, since it is smaller than the sum of its proper divisors (16002972).

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

8390628 is a wasteful number, since it uses less digits than its factorization.

8390628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8390628 is about 2896.6580744023. The cubic root of 8390628 is about 203.2036427003.

The spelling of 8390628 in words is "eight million, three hundred ninety thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 47 54 57 58 76 81 87 94 108 114 116 141 162 171 174 188 228 261 282 324 342 348 423 513 522 551 564 684 783 846 893 1026 1044 1102 1269 1363 1539 1566 1653 1692 1786 2052 2204 2349 2538 2679 2726 3078 3132 3306 3572 3807 4089 4698 4959 5076 5358 5452 6156 6612 7614 8037 8178 9396 9918 10716 12267 14877 15228 16074 16356 19836 24111 24534 25897 29754 32148 36801 44631 48222 49068 51794 59508 72333 73602 77691 89262 96444 103588 110403 144666 147204 155382 178524 220806 233073 289332 310764 441612 466146 699219 932292 1398438 2097657 2796876 4195314 8390628