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476664540 = 2235115912241
BaseRepresentation
bin11100011010010…
…101001011011100
31020012221001211020
4130122111023130
51434011231130
6115144324140
714545403352
oct3432251334
91205831736
10476664540
11225079140
12113773650
13779a4731
144743d7d2
152bca8e10
hex1c6952dc

476664540 has 96 divisors (see below), whose sum is σ = 1480792320. Its totient is φ = 113587200.

The previous prime is 476664497. The next prime is 476664557. The reversal of 476664540 is 45466674.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 476664492 and 476664501.

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, 32820 + ... + 45060.

It is an arithmetic number, because the mean of its divisors is an integer number (15424920).

Almost surely, 2476664540 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 476664540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740396160).

476664540 is an abundant number, since it is smaller than the sum of its proper divisors (1004127780).

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

476664540 is a wasteful number, since it uses less digits than its factorization.

476664540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 476664540 is about 21832.6484879870. The cubic root of 476664540 is about 781.1557160673.

The spelling of 476664540 in words is "four hundred seventy-six million, six hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 9735 12241 12980 19470 24482 36723 38940 48964 61205 73446 122410 134651 146892 183615 244820 269302 367230 403953 538604 673255 722219 734460 807906 1346510 1444438 1615812 2019765 2166657 2693020 2888876 3611095 4039530 4333314 7222190 7944409 8079060 8666628 10833285 14444380 15888818 21666570 23833227 31777636 39722045 43333140 47666454 79444090 95332908 119166135 158888180 238332270 476664540