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978283152 = 2432711831063
BaseRepresentation
bin111010010011110…
…110101010010000
32112011210221012100
4322103312222100
54000420030102
6241024000400
733146161320
oct7223665220
92464727170
10978283152
11462240680
12233760100
131278a5492
1493cd7280
155ad41a1c
hex3a4f6a90

978283152 has 240 divisors, whose sum is σ = 3457778688. Its totient is φ = 250801920.

The previous prime is 978283123. The next prime is 978283157. The reversal of 978283152 is 251382879.

It is a happy number.

978283152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 978283098 and 978283107.

It is not an unprimeable number, because it can be changed into a prime (978283157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919773 + ... + 920835.

Almost surely, 2978283152 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 978283152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728889344).

978283152 is an abundant number, since it is smaller than the sum of its proper divisors (2479495536).

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

978283152 is a wasteful number, since it uses less digits than its factorization.

978283152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1169 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 978283152 is about 31277.5183158767. The cubic root of 978283152 is about 992.7080067472.

The spelling of 978283152 in words is "nine hundred seventy-eight million, two hundred eighty-three thousand, one hundred fifty-two".