Search a number
-
+
5537152 = 27181239
BaseRepresentation
bin10101000111110110000000
3101102022112201
4111013312000
52404142102
6314402544
765031205
oct25076600
911368481
105537152
113142165
121a30454
1311bb42a
14a41cac
15745987
hex547d80

5537152 has 32 divisors (see below), whose sum is σ = 11138400. Its totient is φ = 2741760.

The previous prime is 5537149. The next prime is 5537159. The reversal of 5537152 is 2517355.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×55371522 = 61320104542208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5537152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5537159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23049 + ... + 23287.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 25537152 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 5537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200).

5537152 is an abundant number, since it is smaller than the sum of its proper divisors (5601248).

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

5537152 is a wasteful number, since it uses less digits than its factorization.

5537152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its digits is 5250, while the sum is 28.

The square root of 5537152 is about 2353.1153817865. The cubic root of 5537152 is about 176.9139782243.

The spelling of 5537152 in words is "five million, five hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 181 239 362 478 724 956 1448 1912 2896 3824 5792 7648 11584 15296 23168 30592 43259 86518 173036 346072 692144 1384288 2768576 5537152