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468375492 = 2231347127503
BaseRepresentation
bin11011111010101…
…101011111000100
31012122022221101110
4123322231133010
51424401003432
6114250525020
714415061134
oct3372553704
91178287343
10468375492
11220427492
12110a36770
1376061880
14462c2ac4
152b1bcdcc
hex1bead7c4

468375492 has 96 divisors (see below), whose sum is σ = 1213857792. Its totient is φ = 139660416.

The previous prime is 468375451. The next prime is 468375499. The reversal of 468375492 is 294573864.

It is not an unprimeable number, because it can be changed into a prime (468375499) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930913 + ... + 931415.

It is an arithmetic number, because the mean of its divisors is an integer number (12644352).

Almost surely, 2468375492 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 468375492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606928896).

468375492 is an abundant number, since it is smaller than the sum of its proper divisors (745482300).

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

468375492 is a wasteful number, since it uses less digits than its factorization.

468375492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 468375492 is about 21641.9844746271. The cubic root of 468375492 is about 776.6011943147.

The spelling of 468375492 in words is "four hundred sixty-eight million, three hundred seventy-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 127 141 156 188 254 282 381 503 508 564 611 762 1006 1222 1509 1524 1651 1833 2012 2444 3018 3302 3666 4953 5969 6036 6539 6604 7332 9906 11938 13078 17907 19617 19812 23641 23876 26156 35814 39234 47282 63881 70923 71628 77597 78468 94564 127762 141846 155194 191643 232791 255524 283692 307333 310388 383286 465582 614666 766572 830453 921999 931164 1229332 1660906 1843998 2491359 3002407 3321812 3687996 4982718 6004814 9007221 9965436 12009628 18014442 36028884 39031291 78062582 117093873 156125164 234187746 468375492