Search a number
-
+
2628820992 = 2133723759
BaseRepresentation
bin1001110010110000…
…1010000000000000
320210012120221110110
42130230022000000
520340434232432
61112504431320
7122100416100
oct23454120000
96705527413
102628820992
1111299a0136
12614478540
1332b8243a5
141ad1c5200
15105bc4dcc
hex9cb0a000

2628820992 has 336 divisors, whose sum is σ = 8516538720. Its totient is φ = 718405632.

The previous prime is 2628820979. The next prime is 2628821021. The reversal of 2628820992 is 2990288262.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44556259 + ... + 44556317.

Almost surely, 22628820992 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 2628820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258269360).

2628820992 is an abundant number, since it is smaller than the sum of its proper divisors (5887717728).

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

2628820992 is an equidigital number, since it uses as much as digits as its factorization.

2628820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2628820992 is about 51272.0293337410. The cubic root of 2628820992 is about 1380.1310860565.

The spelling of 2628820992 in words is "two billion, six hundred twenty-eight million, eight hundred twenty thousand, nine hundred ninety-two".