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3676481956 = 2272612712
BaseRepresentation
bin1101101100100010…
…1010100110100100
3100111012221122010101
43123020222212210
530012134410311
61404451433444
7160051403200
oct33310524644
910435848111
103676481956
111617307344
128672b5884
134678ab114
1426c3bbb00
15167b6cec1
hexdb22a9a4

3676481956 has 81 divisors (see below), whose sum is σ = 7717649121. Its totient is φ = 1527976800.

The previous prime is 3676481953. The next prime is 3676481957. The reversal of 3676481956 is 6591846763.

The square root of 3676481956 is 60634.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119552356 + 3556929600 = 10934^2 + 59640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3676481897 and 3676481906.

It is not an unprimeable number, because it can be changed into a prime (3676481951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51781401 + ... + 51781471.

Almost surely, 23676481956 is an apocalyptic number.

3676481956 is the 60634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676481956

3676481956 is an abundant number, since it is smaller than the sum of its proper divisors (4041167165).

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

3676481956 is an equidigital number, since it uses as much as digits as its factorization.

3676481956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The cubic root of 3676481956 is about 1543.3963882369.

The spelling of 3676481956 in words is "three billion, six hundred seventy-six million, four hundred eighty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 61 71 98 122 142 196 244 284 427 497 854 994 1708 1988 2989 3479 3721 4331 5041 5978 6958 7442 8662 10082 11956 13916 14884 17324 20164 26047 30317 35287 52094 60634 70574 104188 121268 141148 182329 212219 247009 264191 307501 364658 424438 494018 528382 615002 729316 848876 988036 1056764 1230004 1849337 2152507 3698674 4305014 7397348 8610028 12945359 15067549 18757561 25890718 30135098 37515122 51781436 60270196 75030244 131302927 262605854 525211708 919120489 1838240978 3676481956