Search a number
-
+
47140632 = 23327112773
BaseRepresentation
bin1011001111010…
…0111100011000
310021200222210100
42303310330120
544032000012
64402215400
71111455150
oct263647430
9107628710
1047140632
1124678500
1213954560
1399c6a86
146391760
1542128dc
hex2cf4f18

47140632 has 144 divisors (see below), whose sum is σ = 160589520. Its totient is φ = 12228480.

The previous prime is 47140619. The next prime is 47140673. The reversal of 47140632 is 23604174.

It is a junction number, because it is equal to n+sod(n) for n = 47140596 and 47140605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60598 + ... + 61370.

It is an arithmetic number, because the mean of its divisors is an integer number (1115205).

Almost surely, 247140632 is an apocalyptic number.

47140632 is a gapful number since it is divisible by the number (42) 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 47140632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80294760).

47140632 is an abundant number, since it is smaller than the sum of its proper divisors (113448888).

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

47140632 is a wasteful number, since it uses less digits than its factorization.

47140632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47140632 is about 6865.9035821951. The cubic root of 47140632 is about 361.2421903381.

The spelling of 47140632 in words is "forty-seven million, one hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 773 792 847 924 968 1089 1386 1452 1546 1694 1848 2178 2319 2541 2772 2904 3092 3388 4356 4638 5082 5411 5544 6184 6776 6957 7623 8503 8712 9276 10164 10822 13914 15246 16233 17006 18552 20328 21644 25509 27828 30492 32466 34012 43288 48699 51018 55656 59521 60984 64932 68024 76527 93533 97398 102036 119042 129864 153054 178563 187066 194796 204072 238084 280599 306108 357126 374132 389592 476168 535689 561198 612216 654731 714252 748264 841797 1071378 1122396 1309462 1428504 1683594 1964193 2142756 2244792 2618924 3367188 3928386 4285512 5237848 5892579 6734376 7856772 11785158 15713544 23570316 47140632