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468412620 = 223513600529
BaseRepresentation
bin11011111010110…
…110100011001100
31012122101211022120
4123322312203030
51424403200440
6114251412540
714415304314
oct3372664314
91178354276
10468412620
11220452375
12110a54150
1376075740
14462d2444
152b1c8dd0
hex1beb68cc

468412620 has 48 divisors (see below), whose sum is σ = 1412446560. Its totient is φ = 115301376.

The previous prime is 468412619. The next prime is 468412621. The reversal of 468412620 is 26214864.

It is an interprime number because it is at equal distance from previous prime (468412619) and next prime (468412621).

It is not an unprimeable number, because it can be changed into a prime (468412621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299485 + ... + 301044.

It is an arithmetic number, because the mean of its divisors is an integer number (29425970).

Almost surely, 2468412620 is an apocalyptic number.

It is an amenable number.

468412620 is an abundant number, since it is smaller than the sum of its proper divisors (944033940).

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

468412620 is a wasteful number, since it uses less digits than its factorization.

468412620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600554 (or 600552 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 468412620 is about 21642.8422347898. The cubic root of 468412620 is about 776.6217140955.

The spelling of 468412620 in words is "four hundred sixty-eight million, four hundred twelve thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 600529 1201058 1801587 2402116 3002645 3603174 6005290 7206348 7806877 9007935 12010580 15613754 18015870 23420631 31227508 36031740 39034385 46841262 78068770 93682524 117103155 156137540 234206310 468412620