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196642944 = 2733173347
BaseRepresentation
bin10111011100010…
…00100010000000
3111201000111102000
423232020202000
5400320033234
631302424000
74605303021
oct1356104200
9451014360
10196642944
11a0aaa833
1255a32000
1331980294
141c18ac48
15123e4899
hexbb88880

196642944 has 128 divisors (see below), whose sum is σ = 614692800. Its totient is φ = 61673472.

The previous prime is 196642937. The next prime is 196642967. The reversal of 196642944 is 449246691.

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

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 196642944.

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, 57079 + ... + 60425.

Almost surely, 2196642944 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 196642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307346400).

196642944 is an abundant number, since it is smaller than the sum of its proper divisors (418049856).

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

196642944 is a wasteful number, since it uses less digits than its factorization.

196642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3369 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 196642944 is about 14022.9434855882. The cubic root of 196642944 is about 581.5130372434.

The spelling of 196642944 in words is "one hundred ninety-six million, six hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3347 3456 3672 4896 6528 6694 7344 9792 10041 13388 14688 19584 20082 26776 29376 30123 40164 53552 56899 58752 60246 80328 90369 107104 113798 120492 160656 170697 180738 214208 227596 240984 321312 341394 361476 428416 455192 481968 512091 642624 682788 722952 910384 963936 1024182 1285248 1365576 1445904 1536273 1820768 1927872 2048364 2731152 2891808 3072546 3641536 3855744 4096728 5462304 5783616 6145092 7283072 8193456 10924608 11567232 12290184 16386912 21849216 24580368 32773824 49160736 65547648 98321472 196642944