Search a number
-
+
4993482276 = 22332910914627
BaseRepresentation
bin1001010011010001…
…00111111000100100
3110220000010011221000
410221220213320210
540211312413101
62143255353300
7234512620236
oct45150477044
913800104830
104993482276
112132766162
12b74382830
136176b9053
14355286256
151e35ba486
hex129a27e24

4993482276 has 96 divisors (see below), whose sum is σ = 13516272000. Its totient is φ = 1592244864.

The previous prime is 4993482257. The next prime is 4993482289. The reversal of 4993482276 is 6722843994.

4993482276 is a `hidden beast` number, since 4 + 9 + 93 + 482 + 2 + 76 = 666.

It is a super-2 number, since 2×49934822762 = 49869730481452280352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334075 + ... + 348701.

It is an arithmetic number, because the mean of its divisors is an integer number (140794500).

Almost surely, 24993482276 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 4993482276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758136000).

4993482276 is an abundant number, since it is smaller than the sum of its proper divisors (8522789724).

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

4993482276 is a wasteful number, since it uses less digits than its factorization.

4993482276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14778 (or 14770 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4993482276 is about 70664.5758212699. The cubic root of 4993482276 is about 1709.2326135092.

The spelling of 4993482276 in words is "four billion, nine hundred ninety-three million, four hundred eighty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 109 116 174 218 261 327 348 436 522 654 783 981 1044 1308 1566 1962 2943 3132 3161 3924 5886 6322 9483 11772 12644 14627 18966 28449 29254 37932 43881 56898 58508 85347 87762 113796 131643 170694 175524 263286 341388 394929 424183 526572 789858 848366 1272549 1579716 1594343 1696732 2545098 3188686 3817647 4783029 5090196 6377372 7635294 9566058 11452941 14349087 15270588 19132116 22905882 28698174 43047261 45811764 46235947 57396348 86094522 92471894 138707841 172189044 184943788 277415682 416123523 554831364 832247046 1248370569 1664494092 2496741138 4993482276