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47681340 = 223571071061
BaseRepresentation
bin1011010111100…
…0111100111100
310022201110111120
42311320330330
544201300330
64421550540
71116166440
oct265707474
9108643446
1047681340
1124a07773
1213b75450
139b55c15
146492820
1542bcc10
hex2d78f3c

47681340 has 96 divisors (see below), whose sum is σ = 154151424. Its totient is φ = 10786560.

The previous prime is 47681329. The next prime is 47681357. The reversal of 47681340 is 4318674.

It is a super-4 number, since 4×476813404 (a number of 32 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44410 + ... + 45470.

It is an arithmetic number, because the mean of its divisors is an integer number (1605744).

Almost surely, 247681340 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 47681340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77075712).

47681340 is an abundant number, since it is smaller than the sum of its proper divisors (106470084).

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

47681340 is a wasteful number, since it uses less digits than its factorization.

47681340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 47681340 is about 6905.1676301159. The cubic root of 47681340 is about 362.6181049964.

The spelling of 47681340 in words is "forty-seven million, six hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1061 1070 1284 1498 1605 2122 2140 2247 2996 3183 3210 3745 4244 4494 5305 6366 6420 7427 7490 8988 10610 11235 12732 14854 14980 15915 21220 22281 22470 29708 31830 37135 44562 44940 63660 74270 89124 111405 113527 148540 222810 227054 340581 445620 454108 567635 681162 794689 1135270 1362324 1589378 1702905 2270540 2384067 3178756 3405810 3973445 4768134 6811620 7946890 9536268 11920335 15893780 23840670 47681340