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468648660 = 223537379557
BaseRepresentation
bin11011111011110…
…000001011010100
31012122211211002210
4123323300023110
51424433224120
6114300433420
714420306424
oct3373601324
91178754083
10468648660
112205a3747
12110b48870
1376128ccc
1446354484
152b223ce0
hex1bef02d4

468648660 has 96 divisors (see below), whose sum is σ = 1353663360. Its totient is φ = 121056768.

The previous prime is 468648659. The next prime is 468648727. The reversal of 468648660 is 66846864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841102 + ... + 841658.

It is an arithmetic number, because the mean of its divisors is an integer number (14100660).

Almost surely, 2468648660 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 468648660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676831680).

468648660 is an abundant number, since it is smaller than the sum of its proper divisors (885014700).

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

468648660 is a wasteful number, since it uses less digits than its factorization.

468648660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 468648660 is about 21648.2946210550. The cubic root of 468648660 is about 776.7521425530.

The spelling of 468648660 in words is "four hundred sixty-eight million, six hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 379 444 555 557 740 758 1110 1114 1137 1516 1671 1895 2220 2228 2274 2785 3342 3790 4548 5570 5685 6684 7580 8355 11140 11370 14023 16710 20609 22740 28046 33420 41218 42069 56092 61827 70115 82436 84138 103045 123654 140230 168276 206090 210345 211103 247308 280460 309135 412180 420690 422206 618270 633309 841380 844412 1055515 1236540 1266618 2111030 2533236 3166545 4222060 6333090 7810811 12666180 15621622 23432433 31243244 39054055 46864866 78108110 93729732 117162165 156216220 234324330 468648660