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468802840 = 235112414421
BaseRepresentation
bin11011111100010…
…101110100011000
31012200010122121011
4123330111310120
51430003142330
6114304023304
714421521062
oct3374256430
91180118534
10468802840
11220699570
12111001b34
137618123c
1446394732
152b25482a
hex1bf15d18

468802840 has 64 divisors (see below), whose sum is σ = 1155733920. Its totient is φ = 169728000.

The previous prime is 468802837. The next prime is 468802877. The reversal of 468802840 is 48208864.

It is a super-2 number, since 2×4688028402 = 439552205584131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 468802793 and 468802802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103830 + ... + 108250.

Almost surely, 2468802840 is an apocalyptic number.

468802840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468802840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577866960).

468802840 is an abundant number, since it is smaller than the sum of its proper divisors (686931080).

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

468802840 is a wasteful number, since it uses less digits than its factorization.

468802840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 468802840 is about 21651.8553477525. The cubic root of 468802840 is about 776.8373140434.

It can be divided in two parts, 468 and 802840, that added together give a palindrome (803308).

The spelling of 468802840 in words is "four hundred sixty-eight million, eight hundred two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 241 440 482 964 1205 1928 2410 2651 4421 4820 5302 8842 9640 10604 13255 17684 21208 22105 26510 35368 44210 48631 53020 88420 97262 106040 176840 194524 243155 389048 486310 972620 1065461 1945240 2130922 4261844 5327305 8523688 10654610 11720071 21309220 23440142 42618440 46880284 58600355 93760568 117200710 234401420 468802840