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39624680452 = 22721725746273
BaseRepresentation
bin100100111001110100…
…001010010000000100
310210021111211022212111
4210321310022100010
51122122404233302
630111530230404
72601636140500
oct447164122004
9123244738774
1039624680452
111589410a9a5
12781a285404
1339763a28a6
141cbc7cd300
15106da9b0d7
hex939d0a404

39624680452 has 72 divisors (see below), whose sum is σ = 85743685944. Its totient is φ = 15920529408.

The previous prime is 39624680441. The next prime is 39624680453. The reversal of 39624680452 is 25408642693.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20216289856 + 19408390596 = 142184^2 + 139314^2 .

It is a super-2 number, since 2×396246804522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 39624680396 and 39624680405.

It is not an unprimeable number, because it can be changed into a prime (39624680453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833188 + ... + 879460.

It is an arithmetic number, because the mean of its divisors is an integer number (1190884527).

Almost surely, 239624680452 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 39624680452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42871842972).

39624680452 is an abundant number, since it is smaller than the sum of its proper divisors (46119005492).

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

39624680452 is a wasteful number, since it uses less digits than its factorization.

39624680452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46565 (or 46556 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 39624680452 in words is "thirty-nine billion, six hundred twenty-four million, six hundred eighty thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 257 476 514 833 1028 1666 1799 3332 3598 4369 7196 8738 12593 17476 25186 30583 46273 50372 61166 92546 122332 185092 214081 323911 428162 647822 786641 856324 1295644 1573282 2267377 3146564 4534754 5506487 9069508 11012974 11892161 22025948 23784322 38545409 47568644 77090818 83245127 154181636 166490254 202166737 332980508 404333474 582715889 808666948 1165431778 1415167159 2330863556 2830334318 5660668636 9906170113 19812340226 39624680452