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481910748 = 2231129312131
BaseRepresentation
bin11100101110010…
…101111111011100
31020120210121021020
4130232111333130
51441332120443
6115453004140
714641113414
oct3456257734
91216717236
10481910748
11228031750
12115483650
1378ac05b7
1448007644
152c493583
hex1cb95fdc

481910748 has 144 divisors (see below), whose sum is σ = 1321246080. Its totient is φ = 135408000.

The previous prime is 481910729. The next prime is 481910749. The reversal of 481910748 is 847019184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481910749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3678643 + ... + 3678773.

It is an arithmetic number, because the mean of its divisors is an integer number (9175320).

Almost surely, 2481910748 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 481910748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660623040).

481910748 is an abundant number, since it is smaller than the sum of its proper divisors (839335332).

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

481910748 is a wasteful number, since it uses less digits than its factorization.

481910748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 481910748 is about 21952.4656473937. The cubic root of 481910748 is about 784.0110868035.

The spelling of 481910748 in words is "four hundred eighty-one million, nine hundred ten thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 31 33 44 58 62 66 87 93 116 124 131 132 174 186 262 319 341 348 372 393 524 638 682 786 899 957 961 1023 1276 1364 1441 1572 1798 1914 1922 2046 2697 2882 2883 3596 3799 3828 3844 4061 4092 4323 5394 5764 5766 7598 8122 8646 9889 10571 10788 11397 11532 12183 15196 16244 17292 19778 21142 22794 24366 27869 29667 31713 39556 41789 42284 44671 45588 48732 55738 59334 63426 83578 83607 89342 111476 117769 118668 125367 125891 126852 134013 167156 167214 178684 235538 250734 251782 268026 306559 334428 353307 377673 471076 501468 503564 536052 613118 706614 755346 919677 1226236 1295459 1384801 1413228 1510692 1839354 2590918 2769602 3650839 3678708 3886377 4154403 5181836 5539204 7301678 7772754 8308806 10952517 14603356 15545508 16617612 21905034 40159229 43810068 80318458 120477687 160636916 240955374 481910748