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481057020 = 2232510724977
BaseRepresentation
bin11100101011000…
…101100011111100
31020112012020011200
4130223011203330
51441122311040
6115422415500
714630626413
oct3453054374
91215166150
10481057020
112275a9294
12115131590
1378881b32
1447c6447a
152c375630
hex1cac58fc

481057020 has 72 divisors (see below), whose sum is σ = 1472902704. Its totient is φ = 127077888.

The previous prime is 481057019. The next prime is 481057033. The reversal of 481057020 is 20750184.

It is a super-3 number, since 3×4810570203 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6772 + ... + 31748.

It is an arithmetic number, because the mean of its divisors is an integer number (20456982).

Almost surely, 2481057020 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 481057020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736451352).

481057020 is an abundant number, since it is smaller than the sum of its proper divisors (991845684).

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

481057020 is a wasteful number, since it uses less digits than its factorization.

481057020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25099 (or 25094 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 481057020 is about 21933.0121050438. The cubic root of 481057020 is about 783.5478420632.

The spelling of 481057020 in words is "four hundred eighty-one million, fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 24977 49954 74931 99908 124885 149862 224793 249770 299724 374655 449586 499540 749310 899172 1123965 1498620 2247930 2672539 4495860 5345078 8017617 10690156 13362695 16035234 24052851 26725390 32070468 40088085 48105702 53450780 80176170 96211404 120264255 160352340 240528510 481057020