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468392940 = 2232519151907
BaseRepresentation
bin11011111010110…
…001101111101100
31012122100211022200
4123322301233230
51424402033230
6114251141500
714415163041
oct3372615754
91178324280
10468392940
11220439604
12110a44890
13760697b2
14462c91c8
152b1c3160
hex1beb1bec

468392940 has 144 divisors (see below), whose sum is σ = 1507134720. Its totient is φ = 117417600.

The previous prime is 468392909. The next prime is 468392971. The reversal of 468392940 is 49293864.

It is an interprime number because it is at equal distance from previous prime (468392909) and next prime (468392971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 515967 + ... + 516873.

Almost surely, 2468392940 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 468392940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753567360).

468392940 is an abundant number, since it is smaller than the sum of its proper divisors (1038741780).

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

468392940 is a wasteful number, since it uses less digits than its factorization.

468392940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 468392940 is about 21642.3875762357. The cubic root of 468392940 is about 776.6108375530.

The spelling of 468392940 in words is "four hundred sixty-eight million, three hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 151 171 180 190 228 285 302 342 380 453 570 604 684 755 855 906 907 1140 1359 1510 1710 1812 1814 2265 2718 2721 2869 3020 3420 3628 4530 4535 5436 5442 5738 6795 8163 8607 9060 9070 10884 11476 13590 13605 14345 16326 17214 17233 18140 25821 27180 27210 28690 32652 34428 34466 40815 43035 51642 51699 54420 57380 68932 81630 86070 86165 103284 103398 129105 136957 155097 163260 172140 172330 206796 258210 258495 273914 310194 344660 410871 516420 516990 547828 620388 684785 775485 821742 1033980 1232613 1369570 1550970 1643484 2054355 2465226 2602183 2739140 3101940 4108710 4930452 5204366 6163065 7806549 8217420 10408732 12326130 13010915 15613098 23419647 24652260 26021830 31226196 39032745 46839294 52043660 78065490 93678588 117098235 156130980 234196470 468392940