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4254517536 = 2531012271933
BaseRepresentation
bin1111110110010110…
…1100100100100000
3101222111121212212120
43331211230210200
532203124030121
61542101024240
7210300542133
oct37545544440
911874555776
104254517536
111893622aa5
129a89b5080
1352a5863c9
142c508821a
1519d79cbc6
hexfd96c920

4254517536 has 96 divisors (see below), whose sum is σ = 11334230208. Its totient is φ = 1397222400.

The previous prime is 4254517499. The next prime is 4254517543. The reversal of 4254517536 is 6357154524.

4254517536 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42545175362 = 36201838928263022592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 2200026 + ... + 2201958.

It is an arithmetic number, because the mean of its divisors is an integer number (118064898).

Almost surely, 24254517536 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 4254517536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667115104).

4254517536 is an abundant number, since it is smaller than the sum of its proper divisors (7079712672).

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

4254517536 is a wasteful number, since it uses less digits than its factorization.

4254517536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2266 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

The square root of 4254517536 is about 65226.6627691468. The cubic root of 4254517536 is about 1620.3796214448.

The spelling of 4254517536 in words is "four billion, two hundred fifty-four million, five hundred seventeen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 227 303 404 454 606 681 808 908 1212 1362 1616 1816 1933 2424 2724 3232 3632 3866 4848 5448 5799 7264 7732 9696 10896 11598 15464 21792 22927 23196 30928 45854 46392 61856 68781 91708 92784 137562 183416 185568 195233 275124 366832 390466 438791 550248 585699 733664 780932 877582 1100496 1171398 1316373 1561864 1755164 2200992 2342796 2632746 3123728 3510328 4685592 5265492 6247456 7020656 9371184 10530984 14041312 18742368 21061968 42123936 44317891 88635782 132953673 177271564 265907346 354543128 531814692 709086256 1063629384 1418172512 2127258768 4254517536