Search a number
-
+
47132028 = 223231157269
BaseRepresentation
bin1011001111001…
…0110101111100
310021200112222200
42303302311330
544031211103
64402111500
71111421106
oct263626574
9107615880
1047132028
1124671a99
121394b590
1399c2b98
14638c576
1542100a3
hex2cf2d7c

47132028 has 72 divisors (see below), whose sum is σ = 124225920. Its totient is φ = 15050880.

The previous prime is 47132017. The next prime is 47132039. The reversal of 47132028 is 82023174.

It is an interprime number because it is at equal distance from previous prime (47132017) and next prime (47132039).

It is a junction number, because it is equal to n+sod(n) for n = 47131992 and 47132010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175078 + ... + 175346.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 247132028 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 47132028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62112960).

47132028 is an abundant number, since it is smaller than the sum of its proper divisors (77093892).

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

47132028 is a wasteful number, since it uses less digits than its factorization.

47132028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47132028 is about 6865.2769791174. The cubic root of 47132028 is about 361.2202113023.

The spelling of 47132028 in words is "forty-seven million, one hundred thirty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 157 186 269 279 314 372 471 538 558 628 807 942 1076 1116 1413 1614 1884 2421 2826 3228 4842 4867 5652 8339 9684 9734 14601 16678 19468 25017 29202 33356 42233 43803 50034 58404 75051 84466 87606 100068 126699 150102 168932 175212 253398 300204 380097 506796 760194 1309223 1520388 2618446 3927669 5236892 7855338 11783007 15710676 23566014 47132028