Search a number
-
+
47375680 = 2651143313
BaseRepresentation
bin1011010010111…
…0010101000000
310022010221012211
42310232111000
544112010210
64411231504
71113454342
oct264562500
9108127184
1047375680
1124819060
1213a48594
139a79a61
146413292
15425c38a
hex2d2e540

47375680 has 112 divisors (see below), whose sum is σ = 126333504. Its totient is φ = 16773120.

The previous prime is 47375677. The next prime is 47375687. The reversal of 47375680 is 8657374.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47375687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151204 + ... + 151516.

Almost surely, 247375680 is an apocalyptic number.

47375680 is a gapful number since it is divisible by the number (40) 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 47375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63166752).

47375680 is an abundant number, since it is smaller than the sum of its proper divisors (78957824).

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

47375680 is a wasteful number, since it uses less digits than its factorization.

47375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 47375680 is about 6882.9993462153. Note that the first 3 decimals coincide. The cubic root of 47375680 is about 361.8415920171.

The spelling of 47375680 in words is "forty-seven million, three hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 172 176 215 220 313 320 344 352 430 440 473 626 688 704 860 880 946 1252 1376 1565 1720 1760 1892 2365 2504 2752 3130 3440 3443 3520 3784 4730 5008 6260 6880 6886 7568 9460 10016 12520 13459 13760 13772 15136 17215 18920 20032 25040 26918 27544 30272 34430 37840 50080 53836 55088 67295 68860 75680 100160 107672 110176 134590 137720 148049 151360 215344 220352 269180 275440 296098 430688 538360 550880 592196 740245 861376 1076720 1101760 1184392 1480490 2153440 2368784 2960980 4306880 4737568 5921960 9475136 11843920 23687840 47375680