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4006383616 = 212232432
BaseRepresentation
bin1110111011001100…
…1001000000000000
3101100012201101010101
43232303021000000
531201113233431
61501314412144
7201165461464
oct35663110000
911305641111
104006383616
111776554344
12939891054
134bb0481c1
142a01364a4
15186ad6961
hexeecc9000

4006383616 has 117 divisors (see below), whose sum is σ = 8574576339. Its totient is φ = 1871536128.

The previous prime is 4006383599. The next prime is 4006383629. The reversal of 4006383616 is 6163836004.

The square root of 4006383616 is 63296.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×40063836162 = 32102219357106470912, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93171691 + ... + 93171733.

Almost surely, 24006383616 is an apocalyptic number.

4006383616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4006383616 is the 63296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006383616

4006383616 is an abundant number, since it is smaller than the sum of its proper divisors (4568192723).

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

4006383616 is an frugal number, since it uses more digits than its factorization.

4006383616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The cubic root of 4006383616 is about 1588.2450497103.

The spelling of 4006383616 in words is "four billion, six million, three hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 256 344 368 512 529 688 736 989 1024 1058 1376 1472 1849 1978 2048 2116 2752 2944 3698 3956 4096 4232 5504 5888 7396 7912 8464 11008 11776 14792 15824 16928 22016 22747 23552 29584 31648 33856 42527 44032 45494 47104 59168 63296 67712 85054 88064 90988 94208 118336 126592 135424 170108 176128 181976 236672 253184 270848 340216 363952 473344 506368 541696 680432 727904 946688 978121 1012736 1083392 1360864 1455808 1893376 1956242 2025472 2166784 2721728 2911616 3786752 3912484 4050944 5443456 5823232 7573504 7824968 10886912 11646464 15649936 21773824 23292928 31299872 43547648 46585856 62599744 87095296 93171712 125199488 174190592 250398976 500797952 1001595904 2003191808 4006383616