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5437971 = 3272111959
BaseRepresentation
bin10100101111101000010011
3101020021111100
4110233220103
52343003341
6312315443
764136100
oct24575023
911207440
105437971
1130846a0
1219a2b83
131185246
14a17aa7
157263b6
hex52fa13

5437971 has 72 divisors (see below), whose sum is σ = 10670400. Its totient is φ = 2630880.

The previous prime is 5437969. The next prime is 5437973. The reversal of 5437971 is 1797345.

It is a happy number.

5437971 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5437969) and next prime (5437973).

It is not a de Polignac number, because 5437971 - 21 = 5437969 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5437973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92140 + ... + 92198.

It is an arithmetic number, because the mean of its divisors is an integer number (148200).

Almost surely, 25437971 is an apocalyptic number.

5437971 is a deficient number, since it is larger than the sum of its proper divisors (5232429).

5437971 is a wasteful number, since it uses less digits than its factorization.

5437971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 5437971 is about 2331.9457540861. The cubic root of 5437971 is about 175.8513185609.

It can be divided in two parts, 54 and 37971, that added together give a square (38025 = 1952).

The spelling of 5437971 in words is "five million, four hundred thirty-seven thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 11 19 21 33 49 57 59 63 77 99 133 147 171 177 209 231 399 413 441 531 539 627 649 693 931 1121 1197 1239 1463 1617 1881 1947 2793 2891 3363 3717 4389 4543 4851 5841 7847 8379 8673 10089 10241 12331 13167 13629 23541 26019 30723 31801 36993 40887 54929 70623 86317 92169 95403 110979 164787 258951 286209 494361 604219 776853 1812657 5437971