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412260992 = 271113101223
BaseRepresentation
bin11000100100101…
…001101010000000
31001201202000202122
4120210221222000
51321014322432
6104524103412
713134106043
oct3044515200
91051660678
10412260992
111a178a870
12b6094b68
1367545320
143ca76c5a
15262d6612
hex18929a80

412260992 has 128 divisors (see below), whose sum is σ = 978808320. Its totient is φ = 170496000.

The previous prime is 412260991. The next prime is 412261007. The reversal of 412260992 is 299062214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412260991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848593 + ... + 1848815.

It is an arithmetic number, because the mean of its divisors is an integer number (7646940).

Almost surely, 2412260992 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 412260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489404160).

412260992 is an abundant number, since it is smaller than the sum of its proper divisors (566547328).

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

412260992 is a wasteful number, since it uses less digits than its factorization.

412260992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 412260992 is about 20304.2111888150. The cubic root of 412260992 is about 744.2589764021.

The spelling of 412260992 in words is "four hundred twelve million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 101 104 128 143 176 202 208 223 286 352 404 416 446 572 704 808 832 892 1111 1144 1313 1408 1616 1664 1784 2222 2288 2453 2626 2899 3232 3568 4444 4576 4906 5252 5798 6464 7136 8888 9152 9812 10504 11596 12928 14272 14443 17776 18304 19624 21008 22523 23192 28544 28886 31889 35552 39248 42016 45046 46384 57772 63778 71104 78496 84032 90092 92768 115544 127556 142208 156992 168064 180184 185536 231088 247753 255112 292799 313984 360368 371072 462176 495506 510224 585598 720736 924352 991012 1020448 1171196 1441472 1848704 1982024 2040896 2342392 2882944 3220789 3964048 4081792 4684784 6441578 7928096 9369568 12883156 15856192 18739136 25766312 31712384 37478272 51532624 103065248 206130496 412260992