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445150404 = 22343771523
BaseRepresentation
bin11010100010000…
…111010011000100
31011000121222120000
4122202013103010
51402424303104
6112101041300
714013500406
oct3242072304
91130558500
10445150404
112093040a6
121050b6230
13712bc50a
1443198b76
1529131639
hex1a8874c4

445150404 has 120 divisors (see below), whose sum is σ = 1214313408. Its totient is φ = 142067520.

The previous prime is 445150399. The next prime is 445150417. The reversal of 445150404 is 404051544.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 850887 + ... + 851409.

Almost surely, 2445150404 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 445150404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607156704).

445150404 is an abundant number, since it is smaller than the sum of its proper divisors (769163004).

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

445150404 is a wasteful number, since it uses less digits than its factorization.

445150404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 445150404 is about 21098.5877252483. The cubic root of 445150404 is about 763.5466755984.

The spelling of 445150404 in words is "four hundred forty-five million, one hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 71 74 81 108 111 142 148 162 213 222 284 324 333 426 444 523 639 666 852 999 1046 1278 1332 1569 1917 1998 2092 2556 2627 2997 3138 3834 3996 4707 5254 5751 5994 6276 7668 7881 9414 10508 11502 11988 14121 15762 18828 19351 23004 23643 28242 31524 37133 38702 42363 47286 56484 58053 70929 74266 77404 84726 94572 111399 116106 141858 148532 169452 174159 212787 222798 232212 283716 334197 348318 425574 445596 522477 668394 696636 851148 1002591 1044954 1336788 1373921 1567431 2005182 2089908 2747842 3007773 3134862 4010364 4121763 5495684 6015546 6269724 8243526 12031092 12365289 16487052 24730578 37095867 49461156 74191734 111287601 148383468 222575202 445150404