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468048114 = 232172373911
BaseRepresentation
bin11011111001011…
…101100011110010
31012121201022022100
4123321131203302
51424310014424
6114235521230
714412225522
oct3371354362
91177638270
10468048114
11220223526
121108b9216
1375c78861
1446239682
152b155dc9
hex1be5d8f2

468048114 has 96 divisors (see below), whose sum is σ = 1137037824. Its totient is φ = 138378240.

The previous prime is 468048107. The next prime is 468048127. The reversal of 468048114 is 411840864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513319 + ... + 514229.

It is an arithmetic number, because the mean of its divisors is an integer number (11844144).

Almost surely, 2468048114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468048114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568518912).

468048114 is an abundant number, since it is smaller than the sum of its proper divisors (668989710).

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

468048114 is a wasteful number, since it uses less digits than its factorization.

468048114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 468048114 is about 21634.4196594223. The cubic root of 468048114 is about 776.4202131656.

Adding to 468048114 its reverse (411840864), we get a palindrome (879888978).

The spelling of 468048114 in words is "four hundred sixty-eight million, forty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 73 102 138 146 153 207 219 306 391 414 438 657 782 911 1173 1241 1314 1679 1822 2346 2482 2733 3358 3519 3723 5037 5466 7038 7446 8199 10074 11169 15111 15487 16398 20953 22338 28543 30222 30974 41906 46461 57086 62859 66503 85629 92922 125718 133006 139383 171258 188577 199509 256887 278766 356201 377154 399018 513774 598527 712402 1068603 1130551 1197054 1529569 2137206 2261102 3059138 3205809 3391653 4588707 6411618 6783306 9177414 10174959 13766121 20349918 26002673 27532242 52005346 78008019 156016038 234024057 468048114