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468788430 = 235111783563
BaseRepresentation
bin11011111100010…
…010010011001110
31012200002220211110
4123330102103032
51430002212210
6114303432450
714421431055
oct3374222316
91180086743
10468788430
11220689760
12110bb5726
1376177806
144638d39c
152b250420
hex1bf124ce

468788430 has 64 divisors (see below), whose sum is σ = 1299587328. Its totient is φ = 106959360.

The previous prime is 468788401. The next prime is 468788431. The reversal of 468788430 is 34887864.

It is a self number, because there is not a number n which added to its sum of digits gives 468788430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468788431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36172 + ... + 47391.

It is an arithmetic number, because the mean of its divisors is an integer number (20306052).

Almost surely, 2468788430 is an apocalyptic number.

468788430 is an abundant number, since it is smaller than the sum of its proper divisors (830798898).

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

468788430 is a wasteful number, since it uses less digits than its factorization.

468788430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83601.

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 468788430 is about 21651.5225792553. The cubic root of 468788430 is about 776.8293545208.

The spelling of 468788430 in words is "four hundred sixty-eight million, seven hundred eighty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 83563 167126 250689 417815 501378 835630 919193 1253445 1420571 1838386 2506890 2757579 2841142 4261713 4595965 5515158 7102855 8523426 9191930 13787895 14205710 15626281 21308565 27575790 31252562 42617130 46878843 78131405 93757686 156262810 234394215 468788430