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468790040 = 23519616829
BaseRepresentation
bin11011111100010…
…010101100011000
31012200010000001002
4123330102230120
51430002240130
6114303444132
714421435545
oct3374225430
91180100032
10468790040
1122068a994
12110bb6648
1376178474
144638dbcc
152b250b45
hex1bf12b18

468790040 has 32 divisors (see below), whose sum is σ = 1110294000. Its totient is φ = 177646464.

The previous prime is 468790031. The next prime is 468790043. The reversal of 468790040 is 40097864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 468789976 and 468790003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468790043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307655 + ... + 309174.

Almost surely, 2468790040 is an apocalyptic number.

468790040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468790040 is an abundant number, since it is smaller than the sum of its proper divisors (641503960).

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

468790040 is a wasteful number, since it uses less digits than its factorization.

468790040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616859 (or 616855 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 468790040 is about 21651.5597590566. The cubic root of 468790040 is about 776.8302438302.

The spelling of 468790040 in words is "four hundred sixty-eight million, seven hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 616829 1233658 2467316 3084145 4934632 6168290 11719751 12336580 23439502 24673160 46879004 58598755 93758008 117197510 234395020 468790040