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4026318048 = 253283389433
BaseRepresentation
bin1110111111111100…
…1011110011100000
3101101121020011000200
43233333023303200
531221214134143
61503305545200
7201530065404
oct35777136340
911347204020
104026318048
11178682a385
129444a5200
134c220781c
142a2a45104
151887231d3
hexeffcbce0

4026318048 has 144 divisors (see below), whose sum is σ = 11644410960. Its totient is φ = 1319473152.

The previous prime is 4026318019. The next prime is 4026318073. The reversal of 4026318048 is 8408136204.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40263180482 = 32422474047301060608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9298440 + ... + 9298872.

It is an arithmetic number, because the mean of its divisors is an integer number (80863965).

Almost surely, 24026318048 is an apocalyptic number.

4026318048 is a gapful number since it is divisible by the number (48) 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 4026318048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822205480).

4026318048 is an abundant number, since it is smaller than the sum of its proper divisors (7618092912).

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

4026318048 is a wasteful number, since it uses less digits than its factorization.

4026318048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4026318048 is about 63453.2745254333. The cubic root of 4026318048 is about 1590.8748857841.

It can be divided in two parts, 40263 and 18048, that added together give a triangular number (58311 = T341).

The spelling of 4026318048 in words is "four billion, twenty-six million, three hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 389 433 498 664 747 778 866 996 1167 1299 1328 1494 1556 1732 1992 2334 2598 2656 2988 3112 3464 3501 3897 3984 4668 5196 5976 6224 6928 7002 7794 7968 9336 10392 11952 12448 13856 14004 15588 18672 20784 23904 28008 31176 32287 35939 37344 41568 56016 62352 64574 71878 96861 107817 112032 124704 129148 143756 168437 193722 215634 258296 287512 290583 323451 336874 387444 431268 505311 516592 575024 581166 646902 673748 774888 862536 1010622 1033184 1150048 1162332 1293804 1347496 1515933 1549776 1725072 2021244 2324664 2587608 2694992 3031866 3099552 3450144 4042488 4649328 5175216 5389984 6063732 8084976 9298656 10350432 12127464 13980271 16169952 24254928 27960542 41940813 48509856 55921084 83881626 111842168 125822439 167763252 223684336 251644878 335526504 447368672 503289756 671053008 1006579512 1342106016 2013159024 4026318048