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13804544 = 210131761
BaseRepresentation
bin110100101010…
…010000000000
3221222100021102
4310222100000
512013221134
61211513532
7225223325
oct64522000
927870242
1013804544
117879616
1247588a8
132b24490
141b94b4c
15132a37e
hexd2a400

13804544 has 88 divisors (see below), whose sum is σ = 31982328. Its totient is φ = 5898240.

The previous prime is 13804541. The next prime is 13804547. The reversal of 13804544 is 44540831.

It is an interprime number because it is at equal distance from previous prime (13804541) and next prime (13804547).

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 13778944 = 160^2 + 3712^2 .

It is not an unprimeable number, because it can be changed into a prime (13804541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226274 + ... + 226334.

Almost surely, 213804544 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 13804544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991164).

13804544 is an abundant number, since it is smaller than the sum of its proper divisors (18177784).

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

13804544 is a wasteful number, since it uses less digits than its factorization.

13804544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 13804544 is about 3715.4466757040. The cubic root of 13804544 is about 239.8873545449.

The spelling of 13804544 in words is "thirteen million, eight hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 61 64 68 104 122 128 136 208 221 244 256 272 416 442 488 512 544 793 832 884 976 1024 1037 1088 1586 1664 1768 1952 2074 2176 3172 3328 3536 3904 4148 4352 6344 6656 7072 7808 8296 8704 12688 13312 13481 14144 15616 16592 17408 25376 26962 28288 31232 33184 50752 53924 56576 62464 66368 101504 107848 113152 132736 203008 215696 226304 265472 406016 431392 530944 812032 862784 1061888 1725568 3451136 6902272 13804544