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5413152 = 253113499
BaseRepresentation
bin10100101001100100100000
3101012000110010
4110221210200
52341210102
6312004520
764003533
oct24514440
911160403
105413152
113067a88
121990740
131176b64
14a0ca1a
1571dd6c
hex529920

5413152 has 48 divisors (see below), whose sum is σ = 14364000. Its totient is φ = 1784832.

The previous prime is 5413151. The next prime is 5413171. The reversal of 5413152 is 2513145.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5413151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10599 + ... + 11097.

It is an arithmetic number, because the mean of its divisors is an integer number (299250).

Almost surely, 25413152 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 5413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182000).

5413152 is an abundant number, since it is smaller than the sum of its proper divisors (8950848).

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

5413152 is a wasteful number, since it uses less digits than its factorization.

5413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 5413152 is about 2326.6181465810. The cubic root of 5413152 is about 175.5833809681.

Adding to 5413152 its reverse (2513145), we get a palindrome (7926297).

It can be divided in two parts, 5413 and 152, that added together give a triangular number (5565 = T105).

The spelling of 5413152 in words is "five million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 499 678 904 998 1356 1497 1808 1996 2712 2994 3616 3992 5424 5988 7984 10848 11976 15968 23952 47904 56387 112774 169161 225548 338322 451096 676644 902192 1353288 1804384 2706576 5413152