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4626542052 = 223211311033659
BaseRepresentation
bin1000100111100001…
…10110110111100100
3102221102122200120100
410103300312313210
533433343321202
62043030504100
7222435646536
oct42360666744
912842580510
104626542052
111a64620580
12a91505030
13589681362
1431c649856
151c128741c
hex113c36de4

4626542052 has 144 divisors (see below), whose sum is σ = 13301084160. Its totient is φ = 1343217600.

The previous prime is 4626542033. The next prime is 4626542087. The reversal of 4626542052 is 2502456264.

4626542052 is a `hidden beast` number, since 4 + 62 + 6 + 542 + 0 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4626541998 and 4626542016.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1262599 + ... + 1266257.

It is an arithmetic number, because the mean of its divisors is an integer number (92368640).

Almost surely, 24626542052 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 4626542052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650542080).

4626542052 is an abundant number, since it is smaller than the sum of its proper divisors (8674542108).

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

4626542052 is a wasteful number, since it uses less digits than its factorization.

4626542052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4626542052 is about 68018.6889906002. The cubic root of 4626542052 is about 1666.2960749543.

The spelling of 4626542052 in words is "four billion, six hundred twenty-six million, five hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 103 124 132 186 198 206 279 309 341 372 396 412 558 618 682 927 1023 1116 1133 1236 1364 1854 2046 2266 3069 3193 3399 3659 3708 4092 4532 6138 6386 6798 7318 9579 10197 10977 12276 12772 13596 14636 19158 20394 21954 28737 32931 35123 38316 40249 40788 43908 57474 65862 70246 80498 105369 113429 114948 120747 131724 140492 160996 210738 226858 241494 316107 340287 362241 376877 421476 453716 482988 632214 680574 724482 753754 1020861 1130631 1247719 1264428 1361148 1448964 1507508 2041722 2261262 2495438 3391893 3743157 4083444 4145647 4522524 4990876 6783786 7486314 8291294 11229471 11683187 12436941 13567572 14972628 16582588 22458942 23366374 24873882 35049561 37310823 44917884 46732748 49747764 70099122 74621646 105148683 128515057 140198244 149243292 210297366 257030114 385545171 420594732 514060228 771090342 1156635513 1542180684 2313271026 4626542052