Search a number
-
+
466912296 = 233329131569
BaseRepresentation
bin11011110101001…
…000010000101000
31012112120121021000
4123311020100220
51424012143141
6114155315000
714366455224
oct3365102050
91175517230
10466912296
1121a618134
1211044ba60
137596b886
1446021784
152aece5b6
hex1bd48428

466912296 has 128 divisors (see below), whose sum is σ = 1354320000. Its totient is φ = 148861440.

The previous prime is 466912283. The next prime is 466912321. The reversal of 466912296 is 692219664.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820300 + ... + 820868.

It is an arithmetic number, because the mean of its divisors is an integer number (10580625).

Almost surely, 2466912296 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 466912296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677160000).

466912296 is an abundant number, since it is smaller than the sum of its proper divisors (887407704).

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

466912296 is a wasteful number, since it uses less digits than its factorization.

466912296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 466912296 is about 21608.1534611359. The cubic root of 466912296 is about 775.7916550178.

The spelling of 466912296 in words is "four hundred sixty-six million, nine hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 131 174 216 232 261 262 348 393 522 524 569 696 783 786 1044 1048 1138 1179 1566 1572 1707 2088 2276 2358 3132 3144 3414 3537 3799 4552 4716 5121 6264 6828 7074 7598 9432 10242 11397 13656 14148 15196 15363 16501 20484 22794 28296 30392 30726 33002 34191 40968 45588 49503 61452 66004 68382 74539 91176 99006 102573 122904 132008 136764 148509 149078 198012 205146 223617 273528 297018 298156 396024 410292 445527 447234 594036 596312 670851 820584 891054 894468 1188072 1341702 1782108 1788936 2012553 2161631 2683404 3564216 4025106 4323262 5366808 6484893 8050212 8646524 12969786 16100424 17293048 19454679 25939572 38909358 51879144 58364037 77818716 116728074 155637432 233456148 466912296