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980629056 = 263211374789
BaseRepresentation
bin111010011100110…
…011011001000000
32112100020010011200
4322130303121000
54002020112211
6241150141200
733205131561
oct7234633100
92470203150
10980629056
114635a3140
122344b1800
131282171a4
1494348168
155b156b56
hex3a733640

980629056 has 336 divisors, whose sum is σ = 3252337920. Its totient is φ = 279797760.

The previous prime is 980629049. The next prime is 980629079. The reversal of 980629056 is 650926089.

It is a super-2 number, since 2×9806290562 = 1923266690942902272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11018260 + ... + 11018348.

Almost surely, 2980629056 is an apocalyptic number.

980629056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626168960).

980629056 is an abundant number, since it is smaller than the sum of its proper divisors (2271708864).

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

980629056 is a wasteful number, since it uses less digits than its factorization.

980629056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 980629056 is about 31314.9973016125. The cubic root of 980629056 is about 993.5008715003.

It can be divided in two parts, 980 and 629056, that added together give a palindrome (630036).

The spelling of 980629056 in words is "nine hundred eighty million, six hundred twenty-nine thousand, fifty-six".