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472656780 = 2232517831861
BaseRepresentation
bin11100001011000…
…010101110001100
31012221101110012200
4130023002232030
51432000004110
6114522401500
714466342051
oct3413025614
91187343180
10472656780
11222891042
12112360290
1376c0048b
1446ab9028
152b7666c0
hex1c2c2b8c

472656780 has 144 divisors (see below), whose sum is σ = 1537177824. Its totient is φ = 117135360.

The previous prime is 472656773. The next prime is 472656799. The reversal of 472656780 is 87656274.

472656780 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 567 + 80 = 666.

It is a super-3 number, since 3×4726567803 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253050 + ... + 254910.

It is an arithmetic number, because the mean of its divisors is an integer number (10674846).

Almost surely, 2472656780 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 472656780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768588912).

472656780 is an abundant number, since it is smaller than the sum of its proper divisors (1064521044).

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

472656780 is a wasteful number, since it uses less digits than its factorization.

472656780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 472656780 is about 21740.6711027972. The cubic root of 472656780 is about 778.9602517012.

It can be divided in two parts, 47265 and 6780, that added together give a palindrome (54045).

The spelling of 472656780 in words is "four hundred seventy-two million, six hundred fifty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 83 85 90 102 153 166 170 180 204 249 255 306 332 340 415 498 510 612 747 765 830 996 1020 1245 1411 1494 1530 1660 1861 2490 2822 2988 3060 3722 3735 4233 4980 5583 5644 7055 7444 7470 8466 9305 11166 12699 14110 14940 16749 16932 18610 21165 22332 25398 27915 28220 31637 33498 37220 42330 50796 55830 63274 63495 66996 83745 84660 94911 111660 126548 126990 154463 158185 167490 189822 253980 284733 308926 316370 334980 379644 463389 474555 569466 617852 632740 772315 926778 949110 1138932 1390167 1423665 1544630 1853556 1898220 2316945 2625871 2780334 2847330 3089260 4633890 5251742 5560668 5694660 6950835 7877613 9267780 10503484 13129355 13901670 15755226 23632839 26258710 27803340 31510452 39388065 47265678 52517420 78776130 94531356 118164195 157552260 236328390 472656780