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465730650 = 2325271113441
BaseRepresentation
bin11011110000100…
…111110001011010
31012110100120100100
4123300213301122
51423211340100
6114114120230
714353434210
oct3360476132
91173316310
10465730650
11219990370
1210bb80076
1375646a88
1445bd4cb0
152ad49400
hex1bc27c5a

465730650 has 144 divisors (see below), whose sum is σ = 1560132288. Its totient is φ = 96768000.

The previous prime is 465730637. The next prime is 465730693. The reversal of 465730650 is 56037564.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27930 + ... + 41370.

It is an arithmetic number, because the mean of its divisors is an integer number (10834252).

Almost surely, 2465730650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465730650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780066144).

465730650 is an abundant number, since it is smaller than the sum of its proper divisors (1094401638).

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

465730650 is a wasteful number, since it uses less digits than its factorization.

465730650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13477 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 465730650 is about 21580.7935442606. The cubic root of 465730650 is about 775.1366529755.

The spelling of 465730650 in words is "four hundred sixty-five million, seven hundred thirty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4950 5775 6930 11550 13441 17325 26882 34650 40323 67205 80646 94087 120969 134410 147851 188174 201615 241938 282261 295702 336025 403230 443553 470435 564522 604845 672050 739255 846783 887106 940870 1008075 1034957 1209690 1330659 1411305 1478510 1693566 2016150 2069914 2217765 2352175 2661318 2822610 3024225 3104871 3696275 4233915 4435530 4704350 5174785 6048450 6209742 6653295 7056525 7392550 8467830 9314613 10349570 11088825 13306590 14113050 15524355 18629226 21169575 22177650 25873925 31048710 33266475 42339150 46573065 51747850 66532950 77621775 93146130 155243550 232865325 465730650