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5542766352 = 2432376715527
BaseRepresentation
bin1010010100101111…
…11110011100010000
3112022021200201000200
411022113332130100
542322422010402
62314000415200
7254232510444
oct51227763420
915267621020
105542766352
112394824442
1210a8317500
136a4438706
143a81ca824
1522691b21c
hex14a5fe710

5542766352 has 120 divisors (see below), whose sum is σ = 16170113856. Its totient is φ = 1770709248.

The previous prime is 5542766351. The next prime is 5542766381. The reversal of 5542766352 is 2536672455.

5542766352 is a `hidden beast` number, since 5 + 5 + 4 + 2 + 7 + 6 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5542766298 and 5542766307.

It is not an unprimeable number, because it can be changed into a prime (5542766351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349213 + ... + 364739.

Almost surely, 25542766352 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 5542766352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085056928).

5542766352 is an abundant number, since it is smaller than the sum of its proper divisors (10627347504).

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

5542766352 is a wasteful number, since it uses less digits than its factorization.

5542766352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15645 (or 15636 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 5542766352 is about 74449.7572326465. The cubic root of 5542766352 is about 1769.7375154190.

The spelling of 5542766352 in words is "five billion, five hundred forty-two million, seven hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 67 72 74 111 134 144 148 201 222 268 296 333 402 444 536 592 603 666 804 888 1072 1206 1332 1608 1776 2412 2479 2664 3216 4824 4958 5328 7437 9648 9916 14874 15527 19832 22311 29748 31054 39664 44622 46581 59496 62108 89244 93162 118992 124216 139743 178488 186324 248432 279486 356976 372648 558972 574499 745296 1040309 1117944 1148998 1723497 2080618 2235888 2297996 3120927 3446994 4161236 4595992 5170491 6241854 6893988 8322472 9191984 9362781 10340982 12483708 13787976 16644944 18725562 20681964 24967416 27575952 37451124 38491433 41363928 49934832 74902248 76982866 82727856 115474299 149804496 153965732 230948598 307931464 346422897 461897196 615862928 692845794 923794392 1385691588 1847588784 2771383176 5542766352