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481252920 = 233523174367
BaseRepresentation
bin11100101011110…
…101011000111000
31020112120011220020
4130223311120320
51441200043140
6115430530440
714632403511
oct3453653070
91215504806
10481252920
11227722495
12115206a20
1378920055
1447cb5a08
152c3b36d0
hex1caf5638

481252920 has 64 divisors (see below), whose sum is σ = 1506539520. Its totient is φ = 122753664.

The previous prime is 481252903. The next prime is 481252921. The reversal of 481252920 is 29252184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481252921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84424 + ... + 89943.

It is an arithmetic number, because the mean of its divisors is an integer number (23539680).

Almost surely, 2481252920 is an apocalyptic number.

481252920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481252920 is an abundant number, since it is smaller than the sum of its proper divisors (1025286600).

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

481252920 is a wasteful number, since it uses less digits than its factorization.

481252920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174404 (or 174400 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 481252920 is about 21937.4775213560. The cubic root of 481252920 is about 783.6541885630.

The spelling of 481252920 in words is "four hundred eighty-one million, two hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 174367 348734 523101 697468 871835 1046202 1394936 1743670 2092404 2615505 3487340 4010441 4184808 5231010 6974680 8020882 10462020 12031323 16041764 20052205 20924040 24062646 32083528 40104410 48125292 60156615 80208820 96250584 120313230 160417640 240626460 481252920