Search a number
-
+
537912956 = 22737214033
BaseRepresentation
bin100000000011111…
…110011001111100
31101111011210212002
4200003332121330
52100201203311
6125213201432
716221120230
oct4003763174
91344153762
10537912956
11256701a69
12130190278
138759a9b9
14516245c0
153235693b
hex200fe67c

537912956 has 36 divisors (see below), whose sum is σ = 1105766928. Its totient is φ = 224287488.

The previous prime is 537912943. The next prime is 537912959. The reversal of 537912956 is 659219735.

537912956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 537912956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537912959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31316 + ... + 45348.

It is an arithmetic number, because the mean of its divisors is an integer number (30715748).

Almost surely, 2537912956 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 537912956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552883464).

537912956 is an abundant number, since it is smaller than the sum of its proper divisors (567853972).

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

537912956 is a wasteful number, since it uses less digits than its factorization.

537912956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118 (or 14079 counting only the distinct ones).

The product of its digits is 510300, while the sum is 47.

The square root of 537912956 is about 23192.9505669287. The cubic root of 537912956 is about 813.2748362628.

The spelling of 537912956 in words is "five hundred thirty-seven million, nine hundred twelve thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036 1369 2738 5476 9583 14033 19166 28066 38332 56132 98231 196462 392924 519221 1038442 2076884 3634547 7269094 14538188 19211177 38422354 76844708 134478239 268956478 537912956