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196853472 = 253217311297
BaseRepresentation
bin10111011101110…
…11111011100000
3111201102012012100
423232323323200
5400343302342
631311130400
74610140554
oct1356737340
9451365170
10196853472
11a1133a22
1255b13a00
1331a2505a
141c203864
1512436e4c
hexbbbbee0

196853472 has 144 divisors (see below), whose sum is σ = 612323712. Its totient is φ = 59719680.

The previous prime is 196853467. The next prime is 196853483. The reversal of 196853472 is 274358691.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151128 + ... + 152424.

It is an arithmetic number, because the mean of its divisors is an integer number (4252248).

Almost surely, 2196853472 is an apocalyptic number.

196853472 is a gapful number since it is divisible by the number (12) 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 196853472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306161856).

196853472 is an abundant number, since it is smaller than the sum of its proper divisors (415470240).

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

196853472 is a wasteful number, since it uses less digits than its factorization.

196853472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1350 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 196853472 is about 14030.4480327608. The cubic root of 196853472 is about 581.7204878820.

The spelling of 196853472 in words is "one hundred ninety-six million, eight hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 496 527 544 558 612 744 816 992 1054 1116 1224 1297 1488 1581 1632 2108 2232 2448 2594 2976 3162 3891 4216 4464 4743 4896 5188 6324 7782 8432 8928 9486 10376 11673 12648 15564 16864 18972 20752 22049 23346 25296 31128 37944 40207 41504 44098 46692 50592 62256 66147 75888 80414 88196 93384 120621 124512 132294 151776 160828 176392 186768 198441 241242 264588 321656 352784 361863 373536 396882 482484 529176 643312 683519 705568 723726 793764 964968 1058352 1286624 1367038 1447452 1587528 1929936 2050557 2116704 2734076 2894904 3175056 3859872 4101114 5468152 5789808 6151671 6350112 8202228 10936304 11579616 12303342 16404456 21872608 24606684 32808912 49213368 65617824 98426736 196853472