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1392492816 = 2433111322541
BaseRepresentation
bin101001011111111…
…1100000100010000
310121001012222001000
41102333330010100
510322434232231
6350101542000
746335664551
oct12277740420
93531188030
101392492816
11655031510
1232a414900
13192650760
14d2d1a328
15823b06e6
hex52ffc110

1392492816 has 160 divisors (see below), whose sum is σ = 4695949440. Its totient is φ = 389491200.

The previous prime is 1392492809. The next prime is 1392492821. The reversal of 1392492816 is 6182942931.

It is a super-2 number, since 2×13924928162 = 3878072485223219712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50506 + ... + 73046.

It is an arithmetic number, because the mean of its divisors is an integer number (29349684).

Almost surely, 21392492816 is an apocalyptic number.

1392492816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392492816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347974720).

1392492816 is an abundant number, since it is smaller than the sum of its proper divisors (3303456624).

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

1392492816 is a wasteful number, since it uses less digits than its factorization.

1392492816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22582 (or 22570 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1392492816 is about 37316.1200555470. The cubic root of 1392492816 is about 1116.6857849948.

The spelling of 1392492816 in words is "one billion, three hundred ninety-two million, four hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 22541 30888 45082 61776 67623 90164 135246 180328 202869 247951 270492 293033 360656 405738 495902 540984 586066 608607 743853 811476 879099 991804 1081968 1172132 1217214 1487706 1622952 1758198 1983608 2231559 2344264 2434428 2637297 2975412 3223363 3245904 3516396 3967216 4463118 4688528 4868856 5274594 5950824 6446726 6694677 7032792 7911891 8926236 9670089 9737712 10549188 11901648 12893452 13389354 14065584 15823782 17852472 19340178 21098376 25786904 26778708 29010267 31647564 35704944 38680356 42196752 51573808 53557416 58020534 63295128 77360712 87030801 107114832 116041068 126590256 154721424 174061602 232082136 348123204 464164272 696246408 1392492816