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481209240 = 23359741341
BaseRepresentation
bin11100101011101…
…010101110011000
31020112110221222110
4130223222232120
51441142143430
6115425552320
714632132251
oct3453525630
91215427873
10481209240
112276a2696
121151a56a0
13789061c5
1447ca3b28
152c3a57b0
hex1caeab98

481209240 has 64 divisors (see below), whose sum is σ = 1458545760. Its totient is φ = 126996480.

The previous prime is 481209229. The next prime is 481209241. The reversal of 481209240 is 42902184.

It is a super-2 number, since 2×4812092402 = 463124665322755200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 481209198 and 481209207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481209241) 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, 9031 + ... + 32310.

Almost surely, 2481209240 is an apocalyptic number.

481209240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481209240 is an abundant number, since it is smaller than the sum of its proper divisors (977336520).

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

481209240 is a wasteful number, since it uses less digits than its factorization.

481209240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41452 (or 41448 counting only the distinct ones).

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

The square root of 481209240 is about 21936.4819421894. The cubic root of 481209240 is about 783.6304788883.

The spelling of 481209240 in words is "four hundred eighty-one million, two hundred nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 41341 82682 124023 165364 206705 248046 330728 413410 496092 620115 826820 992184 1240230 1653640 2480460 4010077 4960920 8020154 12030231 16040308 20050385 24060462 32080616 40100770 48120924 60151155 80201540 96241848 120302310 160403080 240604620 481209240