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468788816 = 24375367223
BaseRepresentation
bin11011111100010…
…010011001010000
31012200002221100202
4123330102121100
51430002220231
6114303434332
714421432146
oct3374223120
91180087322
10468788816
11220689a81
12110bb59a8
1376177a42
144638d596
152b2505cb
hex1bf12650

468788816 has 80 divisors (see below), whose sum is σ = 968937984. Its totient is φ = 219428352.

The previous prime is 468788813. The next prime is 468788833. The reversal of 468788816 is 618887864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468788813) 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, 2102081 + ... + 2102303.

Almost surely, 2468788816 is an apocalyptic number.

It is an amenable number.

468788816 is an abundant number, since it is smaller than the sum of its proper divisors (500149168).

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

468788816 is a wasteful number, since it uses less digits than its factorization.

468788816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 56.

The square root of 468788816 is about 21651.5314931762. The cubic root of 468788816 is about 776.8295677343.

The spelling of 468788816 in words is "four hundred sixty-eight million, seven hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 37 53 67 74 106 134 148 212 223 268 296 424 446 536 592 848 892 1072 1784 1961 2479 3551 3568 3922 4958 7102 7844 8251 9916 11819 14204 14941 15688 16502 19832 23638 28408 29882 31376 33004 39664 47276 56816 59764 66008 94552 119528 131387 132016 189104 239056 262774 437303 525548 552817 791873 874606 1051096 1105634 1583746 1749212 2102192 2211268 3167492 3498424 4422536 6334984 6996848 8845072 12669968 29299301 58598602 117197204 234394408 468788816