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468430788 = 2237219231823
BaseRepresentation
bin11011111010111…
…010111111000100
31012122102202020110
4123322322333010
51424404241123
6114252033020
714415411300
oct3372727704
91178382213
10468430788
11220464a91
12110a62770
1376080aa7
14462d8d00
152b1ce493
hex1bebafc4

468430788 has 144 divisors (see below), whose sum is σ = 1397329920. Its totient is φ = 121214016.

The previous prime is 468430783. The next prime is 468430793. The reversal of 468430788 is 887034864.

It is an interprime number because it is at equal distance from previous prime (468430783) and next prime (468430793).

It is not an unprimeable number, because it can be changed into a prime (468430783) 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 47 ways as a sum of consecutive naturals, for example, 256045 + ... + 257867.

It is an arithmetic number, because the mean of its divisors is an integer number (9703680).

Almost surely, 2468430788 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 468430788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698664960).

468430788 is an abundant number, since it is smaller than the sum of its proper divisors (928899132).

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

468430788 is a wasteful number, since it uses less digits than its factorization.

468430788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 468430788 is about 21643.2619537814. The cubic root of 468430788 is about 776.6317547308.

The spelling of 468430788 in words is "four hundred sixty-eight million, four hundred thirty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 49 57 69 76 84 92 98 114 133 138 147 161 196 228 266 276 294 322 399 437 483 532 588 644 798 874 931 966 1127 1311 1596 1748 1823 1862 1932 2254 2622 2793 3059 3381 3646 3724 4508 5244 5469 5586 6118 6762 7292 9177 10938 11172 12236 12761 13524 18354 21413 21876 25522 34637 36708 38283 41929 42826 51044 64239 69274 76566 83858 85652 89327 103911 125787 128478 138548 153132 167716 178654 207822 242459 251574 256956 267981 293503 357308 415644 484918 503148 535962 587006 727377 796651 880509 969836 1071924 1174012 1454754 1593302 1697213 1761018 2054521 2389953 2909508 3186604 3394426 3522036 4109042 4779906 5091639 5576557 6163563 6788852 8218084 9559812 10183278 11153114 12327126 16729671 20366556 22306228 24654252 33459342 39035899 66918684 78071798 117107697 156143596 234215394 468430788