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481103672 = 237171074723
BaseRepresentation
bin11100101011010…
…000111100111000
31020112021121011112
4130223100330320
51441130304142
6115423415452
714631212420
oct3453207470
91215247145
10481103672
11227630345
12115154588
137889a13a
1447c77480
152c384382
hex1cad0f38

481103672 has 64 divisors (see below), whose sum is σ = 1102014720. Its totient is φ = 192204288.

The previous prime is 481103671. The next prime is 481103677. The reversal of 481103672 is 276301184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481103671) 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, 99503 + ... + 104225.

It is an arithmetic number, because the mean of its divisors is an integer number (17218980).

Almost surely, 2481103672 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 481103672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551007360).

481103672 is an abundant number, since it is smaller than the sum of its proper divisors (620911048).

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

481103672 is a wasteful number, since it uses less digits than its factorization.

481103672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 481103672 is about 21934.0755902773. The cubic root of 481103672 is about 783.5731702404.

The spelling of 481103672 in words is "four hundred eighty-one million, one hundred three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 107 119 136 214 238 428 476 749 856 952 1498 1819 2996 3638 4723 5992 7276 9446 12733 14552 18892 25466 33061 37784 50932 66122 80291 101864 132244 160582 264488 321164 505361 562037 642328 1010722 1124074 2021444 2248148 3537527 4042888 4496296 7075054 8591137 14150108 17182274 28300216 34364548 60137959 68729096 120275918 240551836 481103672