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468740128 = 2540136529
BaseRepresentation
bin11011111100000…
…110100000100000
31012200000110120111
4123330012200200
51424444141003
6114302421104
714421140203
oct3374064040
91180013514
10468740128
1122065643a
12110b91794
137615b82c
144637993a
152b240e6d
hex1bf06820

468740128 has 24 divisors (see below), whose sum is σ = 925158780. Its totient is φ = 233779200.

The previous prime is 468740123. The next prime is 468740131. The reversal of 468740128 is 821047864.

It can be written as a sum of positive squares in 2 ways, for example, as 368179344 + 100560784 = 19188^2 + 10028^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (468740123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5433 + ... + 31096.

Almost surely, 2468740128 is an apocalyptic number.

It is an amenable number.

468740128 is a deficient number, since it is larger than the sum of its proper divisors (456418652).

468740128 is a wasteful number, since it uses less digits than its factorization.

468740128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36940 (or 36932 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 468740128 is about 21650.4071093363. The cubic root of 468740128 is about 776.8026731881.

The spelling of 468740128 in words is "four hundred sixty-eight million, seven hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 401 802 1604 3208 6416 12832 36529 73058 146116 292232 584464 1168928 14648129 29296258 58592516 117185032 234370064 468740128