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47666970 = 232513131311
BaseRepresentation
bin1011010111010…
…1011100011010
310022200201210100
42311311130122
544200320340
64421400230
71116106521
oct265653432
9108621710
1047666970
11249a799a
1213b69076
139b4c510
14648b4b8
1542b8830
hex2d7571a

47666970 has 96 divisors (see below), whose sum is σ = 134918784. Its totient is φ = 11606400.

The previous prime is 47666959. The next prime is 47666987. The reversal of 47666970 is 7966674.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153115 + ... + 153425.

It is an arithmetic number, because the mean of its divisors is an integer number (1405404).

Almost surely, 247666970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47666970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67459392).

47666970 is an abundant number, since it is smaller than the sum of its proper divisors (87251814).

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

47666970 is a wasteful number, since it uses less digits than its factorization.

47666970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 47666970 is about 6904.1270266414. The cubic root of 47666970 is about 362.5816732341.

The spelling of 47666970 in words is "forty-seven million, six hundred sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 131 195 234 262 311 390 393 585 622 655 786 933 1170 1179 1310 1555 1703 1866 1965 2358 2799 3110 3406 3930 4043 4665 5109 5598 5895 8086 8515 9330 10218 11790 12129 13995 15327 17030 20215 24258 25545 27990 30654 36387 40430 40741 51090 60645 72774 76635 81482 121290 122223 153270 181935 203705 244446 363870 366669 407410 529633 611115 733338 1059266 1222230 1588899 1833345 2648165 3177798 3666690 4766697 5296330 7944495 9533394 15888990 23833485 47666970