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13849056 = 253513137
BaseRepresentation
bin110100110101…
…000111100000
3222001121100000
4310311013200
512021132211
61212500000
7225500154
oct64650740
928047300
1013849056
1178aa001
12477a600
132b3b810
141ba7064
151338656
hexd351e0

13849056 has 144 divisors (see below), whose sum is σ = 44304624. Its totient is φ = 4230144.

The previous prime is 13849009. The next prime is 13849057. The reversal of 13849056 is 65094831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×138490562 = 383592704182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13849056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13849057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101020 + ... + 101156.

It is an arithmetic number, because the mean of its divisors is an integer number (307671).

Almost surely, 213849056 is an apocalyptic number.

13849056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13849056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22152312).

13849056 is an abundant number, since it is smaller than the sum of its proper divisors (30455568).

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

13849056 is a wasteful number, since it uses less digits than its factorization.

13849056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13849056 is about 3721.4319824498. The cubic root of 13849056 is about 240.1449124839.

It can be divided in two parts, 1384 and 9056, that added together give a triangular number (10440 = T144).

The spelling of 13849056 in words is "thirteen million, eight hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 137 144 156 162 208 216 234 243 274 288 312 324 351 411 416 432 468 486 548 624 648 702 822 864 936 972 1053 1096 1233 1248 1296 1404 1644 1781 1872 1944 2106 2192 2466 2592 2808 3159 3288 3562 3699 3744 3888 4212 4384 4932 5343 5616 6318 6576 7124 7398 7776 8424 9864 10686 11097 11232 12636 13152 14248 14796 16029 16848 19728 21372 22194 25272 28496 29592 32058 33291 33696 39456 42744 44388 48087 50544 56992 59184 64116 66582 85488 88776 96174 101088 118368 128232 133164 144261 170976 177552 192348 256464 266328 288522 355104 384696 432783 512928 532656 577044 769392 865566 1065312 1154088 1538784 1731132 2308176 3462264 4616352 6924528 13849056