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5413632 = 28371953
BaseRepresentation
bin10100101001101100000000
3101012001002220
4110221230000
52341214012
6312011040
764005120
oct24515400
911161086
105413632
113068384
121990a80
131177143
14a0cc80
1571e08c
hex529b00

5413632 has 144 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1437696.

The previous prime is 5413631. The next prime is 5413637. The reversal of 5413632 is 2363145.

It is a happy number.

It is a super-2 number, since 2×54136322 = 58614822862848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5413631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102118 + ... + 102170.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 25413632 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 5413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5413632 is an abundant number, since it is smaller than the sum of its proper divisors (12246528).

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

5413632 is a wasteful number, since it uses less digits than its factorization.

5413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 5413632 is about 2326.7212983080. The cubic root of 5413632 is about 175.5885706451.

Adding to 5413632 its reverse (2363145), we get a palindrome (7776777).

The spelling of 5413632 in words is "five million, four hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 53 56 57 64 76 84 96 106 112 114 128 133 152 159 168 192 212 224 228 256 266 304 318 336 371 384 399 424 448 456 532 608 636 672 742 768 798 848 896 912 1007 1064 1113 1216 1272 1344 1484 1596 1696 1792 1824 2014 2128 2226 2432 2544 2688 2968 3021 3192 3392 3648 4028 4256 4452 4864 5088 5376 5936 6042 6384 6784 7049 7296 8056 8512 8904 10176 11872 12084 12768 13568 14098 14592 16112 17024 17808 20352 21147 23744 24168 25536 28196 32224 34048 35616 40704 42294 47488 48336 51072 56392 64448 71232 84588 94976 96672 102144 112784 128896 142464 169176 193344 225568 257792 284928 338352 386688 451136 676704 773376 902272 1353408 1804544 2706816 5413632