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464026290 = 235713315483
BaseRepresentation
bin11011101010000…
…111101010110010
31012100010222101220
4123222013222302
51422242320130
6114013405510
714333105220
oct3352075262
91170128356
10464026290
11218a26902
1210b499896
137519b090
14458adb10
152ab0e410
hex1ba87ab2

464026290 has 128 divisors (see below), whose sum is σ = 1415135232. Its totient is φ = 94728960.

The previous prime is 464026247. The next prime is 464026291. The reversal of 464026290 is 92620464.

It is a happy number.

It is a super-2 number, since 2×4640262902 = 430640795622328200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464026291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81889 + ... + 87371.

It is an arithmetic number, because the mean of its divisors is an integer number (11055744).

Almost surely, 2464026290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464026290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707567616).

464026290 is an abundant number, since it is smaller than the sum of its proper divisors (951108942).

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

464026290 is a wasteful number, since it uses less digits than its factorization.

464026290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5544.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 464026290 is about 21541.2694611994. The cubic root of 464026290 is about 774.1899493073.

The spelling of 464026290 in words is "four hundred sixty-four million, twenty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 1085 1209 1302 1365 2015 2170 2418 2730 2821 3255 4030 5483 5642 6045 6510 8463 10966 12090 14105 16449 16926 27415 28210 32898 38381 42315 54830 71279 76762 82245 84630 115143 142558 164490 169973 191905 213837 230286 339946 356395 383810 427674 498953 509919 575715 712790 849865 997906 1019838 1069185 1151430 1189811 1496859 1699730 2138370 2209649 2379622 2494765 2549595 2993718 3569433 4419298 4989530 5099190 5949055 6628947 7138866 7484295 11048245 11898110 13257894 14968590 15467543 17847165 22096490 30935086 33144735 35694330 46402629 66289470 77337715 92805258 154675430 232013145 464026290