Search a number
-
+
62980096 = 216312
BaseRepresentation
bin1111000001000…
…0000000000000
311101111201110011
43300100000000
5112110330341
610125514304
71363215304
oct360200000
9141451404
1062980096
1132606973
1219112994
131008153a
148515d04
1557e0b81
hex3c10000

62980096 has 51 divisors (see below), whose sum is σ = 130153503. Its totient is φ = 30474240.

The previous prime is 62980069. The next prime is 62980147. The reversal of 62980096 is 69008926.

Multipling 62980096 by its product of nonzero digits (46656), we get a square (2938399358976 = 17141762).

It is a happy number.

The square root of 62980096 is 7936.

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

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2031601 + ... + 2031631.

Almost surely, 262980096 is an apocalyptic number.

62980096 is the 7936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62980096

62980096 is an abundant number, since it is smaller than the sum of its proper divisors (67173407).

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

62980096 is an frugal number, since it uses more digits than its factorization.

62980096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 62980096 is about 397.8638120612.

The spelling of 62980096 in words is "sixty-two million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1024 1922 1984 2048 3844 3968 4096 7688 7936 8192 15376 15872 16384 30752 31744 32768 61504 63488 65536 123008 126976 246016 253952 492032 507904 984064 1015808 1968128 2031616 3936256 7872512 15745024 31490048 62980096