Search a number
-
+
47262690 = 2345193783
BaseRepresentation
bin1011010001001…
…0101111100010
310021221012020000
42310102233202
544044401230
64405000430
71112504046
oct264225742
9107835200
1047262690
1124751182
12139b3116
139a3a4b7
1463c4026
154238b60
hex2d12be2

47262690 has 160 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 11477376.

The previous prime is 47262689. The next prime is 47262701. The reversal of 47262690 is 9626274.

It is a happy number.

47262690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×472626902 = 4467523732072200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 569389 + ... + 569471.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 247262690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47262690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

47262690 is an abundant number, since it is smaller than the sum of its proper divisors (91780830).

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

47262690 is a wasteful number, since it uses less digits than its factorization.

47262690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 47262690 is about 6874.7865421408. The cubic root of 47262690 is about 361.5537014968.

The spelling of 47262690 in words is "forty-seven million, two hundred sixty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 37 38 45 54 57 74 81 83 90 95 111 114 135 162 166 171 185 190 222 249 270 285 333 342 370 405 415 498 513 555 570 666 703 747 810 830 855 999 1026 1110 1245 1406 1494 1539 1577 1665 1710 1998 2109 2241 2490 2565 2997 3071 3078 3154 3330 3515 3735 4218 4482 4731 4995 5130 5994 6142 6327 6723 7030 7470 7695 7885 9213 9462 9990 10545 11205 12654 13446 14193 14985 15355 15390 15770 18426 18981 21090 22410 23655 27639 28386 29970 30710 31635 33615 37962 42579 46065 47310 55278 56943 58349 63270 67230 70965 82917 85158 92130 94905 113886 116698 127737 138195 141930 165834 175047 189810 212895 248751 255474 276390 284715 291745 350094 414585 425790 497502 525141 569430 583490 638685 829170 875235 1050282 1243755 1277370 1575423 1750470 2487510 2625705 3150846 4726269 5251410 7877115 9452538 15754230 23631345 47262690