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978397056 = 27347131761
BaseRepresentation
bin111010010100010…
…010011110000000
32112012000201110000
4322110102132000
54000432201211
6241030240000
733150144360
oct7224223600
92465021400
10978397056
1146230920a
122337b6000
13127915290
1493d269a0
155ad65656
hex3a512780

978397056 has 640 divisors, whose sum is σ = 3856628160. Its totient is φ = 238878720.

The previous prime is 978397037. The next prime is 978397061. The reversal of 978397056 is 650793879.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 978396993 and 978397011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16039266 + ... + 16039326.

Almost surely, 2978397056 is an apocalyptic number.

978397056 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 978397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928314080).

978397056 is an abundant number, since it is smaller than the sum of its proper divisors (2878231104).

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

978397056 is a wasteful number, since it uses less digits than its factorization.

978397056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 978397056 is about 31279.3391234534. The cubic root of 978397056 is about 992.7465330929.

The spelling of 978397056 in words is "nine hundred seventy-eight million, three hundred ninety-seven thousand, fifty-six".