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468909240 = 23357949463
BaseRepresentation
bin11011111100101…
…111110010111000
31012200100001112220
4123330233302320
51430020043430
6114310204040
714422443222
oct3374576270
91180301486
10468909240
112207614a8
12111053620
13761ba7b7
14463c1412
152b276110
hex1bf2fcb8

468909240 has 64 divisors (see below), whose sum is σ = 1424563200. Its totient is φ = 123457152.

The previous prime is 468909239. The next prime is 468909241. The reversal of 468909240 is 42909864.

It is an interprime number because it is at equal distance from previous prime (468909239) and next prime (468909241).

It is a junction number, because it is equal to n+sod(n) for n = 468909192 and 468909201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468909241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15252 + ... + 34211.

It is an arithmetic number, because the mean of its divisors is an integer number (22258800).

Almost surely, 2468909240 is an apocalyptic number.

468909240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468909240 is an abundant number, since it is smaller than the sum of its proper divisors (955653960).

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

468909240 is a wasteful number, since it uses less digits than its factorization.

468909240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49556 (or 49552 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 468909240 is about 21654.3122726167. The cubic root of 468909240 is about 776.8960802103.

The spelling of 468909240 in words is "four hundred sixty-eight million, nine hundred nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 49463 98926 148389 197852 247315 296778 395704 494630 593556 741945 989260 1187112 1483890 1978520 2967780 3907577 5935560 7815154 11722731 15630308 19537885 23445462 31260616 39075770 46890924 58613655 78151540 93781848 117227310 156303080 234454620 468909240