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468446628 = 2231317296091
BaseRepresentation
bin11011111010111…
…110110110100100
31012122110112222010
4123322332312210
51424410243003
6114252234220
714415505416
oct3372766644
91178415863
10468446628
11220475981
12110a6b970
1376088070
14463009b6
152b1d4003
hex1bebeda4

468446628 has 96 divisors (see below), whose sum is σ = 1289554560. Its totient is φ = 130959360.

The previous prime is 468446623. The next prime is 468446651. The reversal of 468446628 is 826644864.

It is not an unprimeable number, because it can be changed into a prime (468446623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73863 + ... + 79953.

It is an arithmetic number, because the mean of its divisors is an integer number (13432860).

Almost surely, 2468446628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468446628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644777280).

468446628 is an abundant number, since it is smaller than the sum of its proper divisors (821107932).

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

468446628 is a wasteful number, since it uses less digits than its factorization.

468446628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6155 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 468446628 is about 21643.6278844375. The cubic root of 468446628 is about 776.6405085736.

The spelling of 468446628 in words is "four hundred sixty-eight million, four hundred forty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 29 34 39 51 52 58 68 78 87 102 116 156 174 204 221 348 377 442 493 663 754 884 986 1131 1326 1479 1508 1972 2262 2652 2958 4524 5916 6091 6409 12182 12818 18273 19227 24364 25636 36546 38454 73092 76908 79183 103547 158366 176639 207094 237549 310641 316732 353278 414188 475098 529917 621282 706556 950196 1059834 1242564 1346111 2119668 2296307 2692222 3002863 4038333 4592614 5384444 6005726 6888921 8076666 9008589 9185228 12011452 13777842 16153332 18017178 27555684 36034356 39037219 78074438 117111657 156148876 234223314 468446628