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1392131328 = 28371272039
BaseRepresentation
bin101001011111010…
…0011110100000000
310121000112121011120
41102332203310000
510322341200303
6350050112240
746332630630
oct12276436400
93530477146
101392131328
11654904965
1232a27b680
13192555063
14d2c646c0
158233d553
hex52fa3d00

1392131328 has 144 divisors (see below), whose sum is σ = 4269834240. Its totient is φ = 394426368.

The previous prime is 1392131303. The next prime is 1392131339. The reversal of 1392131328 is 8231312931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681733 + ... + 683771.

Almost surely, 21392131328 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 1392131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134917120).

1392131328 is an abundant number, since it is smaller than the sum of its proper divisors (2877702912).

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

1392131328 is a wasteful number, since it uses less digits than its factorization.

1392131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2178 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 1392131328 is about 37311.2761507832. The cubic root of 1392131328 is about 1116.5891469268.

The spelling of 1392131328 in words is "one billion, three hundred ninety-two million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 672 762 768 889 896 1016 1344 1524 1778 1792 2032 2039 2667 2688 3048 3556 4064 4078 5334 5376 6096 6117 7112 8128 8156 10668 12192 12234 14224 14273 16256 16312 21336 24384 24468 28448 28546 32512 32624 42672 42819 48768 48936 56896 57092 65248 85344 85638 97536 97872 113792 114184 130496 170688 171276 195744 227584 228368 258953 260992 341376 342552 391488 456736 517906 521984 682752 685104 776859 782976 913472 1035812 1370208 1553718 1565952 1812671 1826944 2071624 2740416 3107436 3625342 3653888 4143248 5438013 5480832 6214872 7250684 8286496 10876026 10961664 12429744 14501368 16572992 21752052 24859488 29002736 33145984 43504104 49718976 58005472 66291968 87008208 99437952 116010944 174016416 198875904 232021888 348032832 464043776 696065664 1392131328