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481047390 = 233510716651
BaseRepresentation
bin11100101011000…
…011001101011110
31020112011201222000
4130223003031132
51441122004030
6115422303130
714630556345
oct3453031536
91215151860
10481047390
112275a202a
12115127aa6
137887a635
1447c60b5c
152c372860
hex1cac335e

481047390 has 64 divisors (see below), whose sum is σ = 1294859520. Its totient is φ = 127072800.

The previous prime is 481047361. The next prime is 481047401. The reversal of 481047390 is 93740184.

It is a happy number.

It is a super-3 number, since 3×4810473903 (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 31 ways as a sum of consecutive naturals, for example, 20565 + ... + 37215.

It is an arithmetic number, because the mean of its divisors is an integer number (20232180).

Almost surely, 2481047390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481047390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647429760).

481047390 is an abundant number, since it is smaller than the sum of its proper divisors (813812130).

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

481047390 is a wasteful number, since it uses less digits than its factorization.

481047390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16774 (or 16768 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 481047390 is about 21932.7925718546. The cubic root of 481047390 is about 783.5426135658.

The spelling of 481047390 in words is "four hundred eighty-one million, forty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1605 1926 2889 3210 4815 5778 9630 14445 16651 28890 33302 49953 83255 99906 149859 166510 249765 299718 449577 499530 749295 899154 1498590 1781657 2247885 3563314 4495770 5344971 8908285 10689942 16034913 17816570 26724855 32069826 48104739 53449710 80174565 96209478 160349130 240523695 481047390