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197137408 = 2101359251
BaseRepresentation
bin10111100000000…
…01010000000000
3111201221121200111
423300001100000
5400431344113
631321201104
74612432426
oct1360012000
9451847614
10197137408
11a1308286
1256030194
1331ac4370
141c279116
151249113d
hexbc01400

197137408 has 88 divisors (see below), whose sum is σ = 433308960. Its totient is φ = 89088000.

The previous prime is 197137379. The next prime is 197137429. The reversal of 197137408 is 804731791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785283 + ... + 785533.

Almost surely, 2197137408 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 197137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216654480).

197137408 is an abundant number, since it is smaller than the sum of its proper divisors (236171552).

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

197137408 is a wasteful number, since it uses less digits than its factorization.

197137408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 197137408 is about 14040.5629516768. The cubic root of 197137408 is about 582.0000393634. Note that the first 4 decimals are identical.

Subtracting from 197137408 its sum of digits (40), we obtain a cube (197137368 = 5823).

The spelling of 197137408 in words is "one hundred ninety-seven million, one hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 208 236 251 256 416 472 502 512 767 832 944 1004 1024 1534 1664 1888 2008 3068 3263 3328 3776 4016 6136 6526 6656 7552 8032 12272 13052 13312 14809 15104 16064 24544 26104 29618 30208 32128 49088 52208 59236 60416 64256 98176 104416 118472 128512 192517 196352 208832 236944 257024 385034 392704 417664 473888 770068 785408 835328 947776 1540136 1670656 1895552 3080272 3341312 3791104 6160544 7582208 12321088 15164416 24642176 49284352 98568704 197137408