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468026928 = 243216991913
BaseRepresentation
bin11011111001011…
…000011000110000
31012121200020020200
4123321120120300
51424303330203
6114235235200
714412106665
oct3371303060
91177606220
10468026928
11220209616
121108a8b00
1375c6c015
1446231a6c
152b14e9a3
hex1be58630

468026928 has 60 divisors (see below), whose sum is σ = 1311281400. Its totient is φ = 155835648.

The previous prime is 468026927. The next prime is 468026929. The reversal of 468026928 is 829620864.

It is an interprime number because it is at equal distance from previous prime (468026927) and next prime (468026929).

It is not an unprimeable number, because it can be changed into a prime (468026927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243700 + ... + 245612.

It is an arithmetic number, because the mean of its divisors is an integer number (21854690).

Almost surely, 2468026928 is an apocalyptic number.

468026928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468026928 is an abundant number, since it is smaller than the sum of its proper divisors (843254472).

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

468026928 is a wasteful number, since it uses less digits than its factorization.

468026928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 468026928 is about 21633.9300174518. The cubic root of 468026928 is about 776.4084982113.

The spelling of 468026928 in words is "four hundred sixty-eight million, twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1699 1913 3398 3826 5097 5739 6796 7652 10194 11478 13592 15291 15304 17217 20388 22956 27184 30582 30608 34434 40776 45912 61164 68868 81552 91824 122328 137736 244656 275472 3250187 6500374 9750561 13000748 19501122 26001496 29251683 39002244 52002992 58503366 78004488 117006732 156008976 234013464 468026928