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47668530 = 23571319919
BaseRepresentation
bin1011010111010…
…1110100110010
310022200210221010
42311311310302
544200343110
64421411350
71116114210
oct265656462
9108623833
1047668530
11249a9088
1213b69b56
139b50140
14648bcb0
1542b9020
hex2d75d32

47668530 has 128 divisors (see below), whose sum is σ = 148377600. Its totient is φ = 9517824.

The previous prime is 47668513. The next prime is 47668531. The reversal of 47668530 is 3586674.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (47668531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51411 + ... + 52329.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 247668530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47668530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74188800).

47668530 is an abundant number, since it is smaller than the sum of its proper divisors (100709070).

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

47668530 is a wasteful number, since it uses less digits than its factorization.

47668530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968.

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 47668530 is about 6904.2400016222. The cubic root of 47668530 is about 362.5856286022.

It can be divided in two parts, 476 and 68530, that added together give a triangular number (69006 = T371).

The spelling of 47668530 in words is "forty-seven million, six hundred sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 919 1235 1330 1365 1482 1729 1838 1995 2470 2730 2757 3458 3705 3990 4595 5187 5514 6433 7410 8645 9190 10374 11947 12866 13785 17290 17461 19299 23894 25935 27570 32165 34922 35841 38598 51870 52383 59735 64330 71682 83629 87305 96495 104766 119470 122227 167258 174610 179205 192990 226993 244454 250887 261915 358410 366681 418145 453986 501774 523830 611135 680979 733362 836290 1134965 1222270 1254435 1361958 1588951 1833405 2269930 2508870 3177902 3404895 3666810 4766853 6809790 7944755 9533706 15889510 23834265 47668530