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47036028 = 223132937281
BaseRepresentation
bin1011001101101…
…1011001111100
310021111200022010
42303123121330
544020123103
64400051220
71110541164
oct263333174
9107450263
1047036028
1124606956
1213903b10
13998b290
1463655a4
1541e1903
hex2cdb67c

47036028 has 96 divisors (see below), whose sum is σ = 126020160. Its totient is φ = 13547520.

The previous prime is 47035993. The next prime is 47036029. The reversal of 47036028 is 82063074.

It is a junction number, because it is equal to n+sod(n) for n = 47035986 and 47036004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47036029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167248 + ... + 167528.

It is an arithmetic number, because the mean of its divisors is an integer number (1312710).

Almost surely, 247036028 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 47036028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63010080).

47036028 is an abundant number, since it is smaller than the sum of its proper divisors (78984132).

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

47036028 is a wasteful number, since it uses less digits than its factorization.

47036028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47036028 is about 6858.2817089997. The cubic root of 47036028 is about 360.9747963671.

It can be divided in two parts, 4703 and 6028, that added together give a triangular number (10731 = T146).

The spelling of 47036028 in words is "forty-seven million, thirty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 37 39 52 58 74 78 87 111 116 148 156 174 222 281 348 377 444 481 562 754 843 962 1073 1124 1131 1443 1508 1686 1924 2146 2262 2886 3219 3372 3653 4292 4524 5772 6438 7306 8149 10397 10959 12876 13949 14612 16298 20794 21918 24447 27898 31191 32596 41588 41847 43836 48894 55796 62382 83694 97788 105937 124764 135161 167388 211874 270322 301513 317811 405483 423748 540644 603026 635622 810966 904539 1206052 1271244 1621932 1809078 3618156 3919669 7839338 11759007 15678676 23518014 47036028