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468045970 = 257431311187
BaseRepresentation
bin11011111001011…
…101000010010010
31012121201012100221
4123321131002102
51424304432340
6114235503254
714412216340
oct3371350222
91177635327
10468045970
11220221957
121108b7b2a
1375c778a2
1446238990
152b15544a
hex1be5d092

468045970 has 64 divisors (see below), whose sum is σ = 993586176. Its totient is φ = 155413440.

The previous prime is 468045961. The next prime is 468045971. The reversal of 468045970 is 79540864.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (468045971) 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, 393717 + ... + 394903.

It is an arithmetic number, because the mean of its divisors is an integer number (15524784).

Almost surely, 2468045970 is an apocalyptic number.

468045970 is an abundant number, since it is smaller than the sum of its proper divisors (525540206).

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

468045970 is a wasteful number, since it uses less digits than its factorization.

468045970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375.

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 468045970 is about 21634.3701086951. The cubic root of 468045970 is about 776.4190276411.

The spelling of 468045970 in words is "four hundred sixty-eight million, forty-five thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 35 43 70 86 131 215 262 301 430 602 655 917 1187 1310 1505 1834 2374 3010 4585 5633 5935 8309 9170 11266 11870 16618 28165 39431 41545 51041 56330 78862 83090 102082 155497 197155 255205 310994 357287 394310 510410 714574 777485 1088479 1554970 1786435 2176958 3572870 5442395 6686371 10884790 13372742 33431855 46804597 66863710 93609194 234022985 468045970