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985383630 = 234572113761
BaseRepresentation
bin111010101110111…
…100001011001110
32112200011200020000
4322232330023032
54004224234010
6241440105130
733263423400
oct7256741316
92480150200
10985383630
11466250340
122360051a6
131291c034a
1494c24b70
155b7957c0
hex3abbc2ce

985383630 has 480 divisors, whose sum is σ = 3509855712. Its totient is φ = 195955200.

The previous prime is 985383629. The next prime is 985383647. The reversal of 985383630 is 36383589.

985383630 is a `hidden beast` number, since 9 + 8 + 5 + 3 + 8 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16153800 + ... + 16153860.

Almost surely, 2985383630 is an apocalyptic number.

985383630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 985383630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754927856).

985383630 is an abundant number, since it is smaller than the sum of its proper divisors (2524472082).

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

985383630 is a wasteful number, since it uses less digits than its factorization.

985383630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 985383630 is about 31390.8207920723. The cubic root of 985383630 is about 995.1039444282.

The spelling of 985383630 in words is "nine hundred eighty-five million, three hundred eighty-three thousand, six hundred thirty".