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468031788 = 2232719239409
BaseRepresentation
bin11011111001011…
…001100100101100
31012121200110220200
4123321121210230
51424304004123
6114235313500
714412130110
oct3371314454
91177613820
10468031788
11220212234
121108ab890
1375c712b3
1446233740
152b151143
hex1be5992c

468031788 has 144 divisors (see below), whose sum is σ = 1432704000. Its totient is φ = 125846784.

The previous prime is 468031747. The next prime is 468031789. The reversal of 468031788 is 887130864.

It is not an unprimeable number, because it can be changed into a prime (468031789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144128 + ... + 1144536.

Almost surely, 2468031788 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 468031788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716352000).

468031788 is an abundant number, since it is smaller than the sum of its proper divisors (964672212).

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

468031788 is a wasteful number, since it uses less digits than its factorization.

468031788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 468031788 is about 21634.0423407185. The cubic root of 468031788 is about 776.4111856152.

The spelling of 468031788 in words is "four hundred sixty-eight million, thirty-one thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 239 252 266 342 399 409 478 532 684 717 798 818 956 1197 1227 1434 1596 1636 1673 2151 2394 2454 2863 2868 3346 3681 4302 4541 4788 4908 5019 5726 6692 7362 7771 8589 8604 9082 10038 11452 13623 14724 15057 15542 17178 18164 20076 23313 25767 27246 30114 31084 31787 34356 40869 46626 51534 54397 54492 60228 63574 69939 81738 93252 95361 97751 103068 108794 127148 139878 163191 163476 190722 195502 217588 279756 286083 293253 326382 381444 391004 489573 572166 586506 652764 684257 879759 979146 1144332 1173012 1368514 1759518 1857269 1958292 2052771 2737028 3519036 3714538 4105542 5571807 6158313 7429076 8211084 11143614 12316626 13000883 16715421 22287228 24633252 26001766 33430842 39002649 52003532 66861684 78005298 117007947 156010596 234015894 468031788