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196292096 = 2971113383
BaseRepresentation
bin10111011001100…
…10111000000000
3111200100200010122
423230302320000
5400222321341
631251115412
74602312110
oct1354627000
9450320118
10196292096
11a0890180
12558a2b68
1331889690
141c0d9040
151237594b
hexbb32e00

196292096 has 160 divisors (see below), whose sum is σ = 527966208. Its totient is φ = 70410240.

The previous prime is 196292077. The next prime is 196292101. The reversal of 196292096 is 690292691.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512321 + ... + 512703.

Almost surely, 2196292096 is an apocalyptic number.

196292096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983104).

196292096 is an abundant number, since it is smaller than the sum of its proper divisors (331674112).

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

196292096 is a wasteful number, since it uses less digits than its factorization.

196292096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 196292096 is about 14010.4281162283. The cubic root of 196292096 is about 581.1669884767.

It can be divided in two parts, 196 and 292096, that added together give a palindrome (292292).

The spelling of 196292096 in words is "one hundred ninety-six million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 256 286 308 352 364 383 416 448 512 572 616 704 728 766 832 896 1001 1144 1232 1408 1456 1532 1664 1792 2002 2288 2464 2681 2816 2912 3064 3328 3584 4004 4213 4576 4928 4979 5362 5632 5824 6128 6656 8008 8426 9152 9856 9958 10724 11648 12256 16016 16852 18304 19712 19916 21448 23296 24512 29491 32032 33704 34853 36608 39424 39832 42896 46592 49024 54769 58982 64064 67408 69706 73216 79664 85792 98048 109538 117964 128128 134816 139412 159328 171584 196096 219076 235928 256256 269632 278824 318656 343168 383383 438152 471856 512512 539264 557648 637312 686336 766766 876304 943712 1078528 1115296 1274624 1372672 1533532 1752608 1887424 2157056 2230592 2549248 3067064 3505216 3774848 4461184 6134128 7010432 7549696 8922368 12268256 14020864 15099392 17844736 24536512 28041728 49073024 98146048 196292096