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1996078464 = 2734792437
BaseRepresentation
bin111011011111001…
…1011110110000000
312011002222021220000
41312332123312000
513041444002324
6530022520000
7100315246512
oct16676336600
95132867800
101996078464
11934809326
12478596000
1325a703423
1414d157bb2
15ba38a9c9
hex76f9bd80

1996078464 has 160 divisors (see below), whose sum is σ = 6017959200. Its totient is φ = 656667648.

The previous prime is 1996078457. The next prime is 1996078489. The reversal of 1996078464 is 4648706991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1996078464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 817854 + ... + 820290.

It is an arithmetic number, because the mean of its divisors is an integer number (37612245).

Almost surely, 21996078464 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 1996078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008979600).

1996078464 is an abundant number, since it is smaller than the sum of its proper divisors (4021880736).

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

1996078464 is an equidigital number, since it uses as much as digits as its factorization.

1996078464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1996078464 is about 44677.4939315087. The cubic root of 1996078464 is about 1259.0970401369.

The spelling of 1996078464 in words is "one billion, nine hundred ninety-six million, seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 288 316 324 384 432 474 576 632 648 711 864 948 1152 1264 1296 1422 1728 1896 2133 2437 2528 2592 2844 3456 3792 4266 4874 5056 5184 5688 6399 7311 7584 8532 9748 10112 10368 11376 12798 14622 15168 17064 19496 21933 22752 25596 29244 30336 34128 38992 43866 45504 51192 58488 65799 68256 77984 87732 91008 102384 116976 131598 136512 155968 175464 192523 197397 204768 233952 263196 273024 311936 350928 385046 394794 409536 467904 526392 577569 701856 770092 789588 819072 935808 1052784 1155138 1403712 1540184 1579176 1732707 2105568 2310276 2807424 3080368 3158352 3465414 4211136 4620552 5198121 6160736 6316704 6930828 8422272 9241104 10396242 12321472 12633408 13861656 15594363 18482208 20792484 24642944 25266816 27723312 31188726 36964416 41584968 55446624 62377452 73928832 83169936 110893248 124754904 166339872 221786496 249509808 332679744 499019616 665359488 998039232 1996078464