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482921400 = 2335213101613
BaseRepresentation
bin11100110010001…
…100101110111000
31020122200221121210
4130302030232320
51442111441100
6115530403120
714652523053
oct3462145670
91218627553
10482921400
11228661aa5
121158904a0
1379085610
14481cba9a
152c5e2c50
hex1cc8cbb8

482921400 has 192 divisors, whose sum is σ = 1630833120. Its totient is φ = 117504000.

The previous prime is 482921399. The next prime is 482921401. The reversal of 482921400 is 4129284.

It is an interprime number because it is at equal distance from previous prime (482921399) and next prime (482921401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482921401) 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, 787494 + ... + 788106.

Almost surely, 2482921400 is an apocalyptic number.

482921400 is a gapful number since it is divisible by the number (40) 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 482921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815416560).

482921400 is an abundant number, since it is smaller than the sum of its proper divisors (1147911720).

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

482921400 is a wasteful number, since it uses less digits than its factorization.

482921400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 482921400 is about 21975.4726911618. The cubic root of 482921400 is about 784.5587740483.

The spelling of 482921400 in words is "four hundred eighty-two million, nine hundred twenty-one thousand, four hundred".