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26144052 = 223113753101
BaseRepresentation
bin110001110111…
…0110100110100
31211012020220020
41203232310310
523143102202
62332205140
7435135504
oct143566464
954166806
1026144052
1113837460
1289097b0
135554b6c
143687a04
1524665bc
hex18eed34

26144052 has 96 divisors (see below), whose sum is σ = 70326144. Its totient is φ = 7488000.

The previous prime is 26144047. The next prime is 26144081. The reversal of 26144052 is 25044162.

It is a super-2 number, since 2×261440522 = 1367022909957408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258802 + ... + 258902.

It is an arithmetic number, because the mean of its divisors is an integer number (732564).

Almost surely, 226144052 is an apocalyptic number.

26144052 is a gapful number since it is divisible by the number (22) 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 26144052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163072).

26144052 is an abundant number, since it is smaller than the sum of its proper divisors (44182092).

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

26144052 is a wasteful number, since it uses less digits than its factorization.

26144052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 26144052 is about 5113.1254629629. The cubic root of 26144052 is about 296.7957193581.

It can be divided in two parts, 2614 and 4052, that added together give a palindrome (6666).

The spelling of 26144052 in words is "twenty-six million, one hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 53 66 74 101 106 111 132 148 159 202 212 222 303 318 404 407 444 583 606 636 814 1111 1166 1212 1221 1628 1749 1961 2222 2332 2442 3333 3498 3737 3922 4444 4884 5353 5883 6666 6996 7474 7844 10706 11211 11766 13332 14948 16059 21412 21571 22422 23532 32118 41107 43142 44844 58883 64236 64713 82214 86284 117766 123321 129426 164428 176649 198061 235532 246642 258852 353298 396122 493284 594183 706596 792244 1188366 2178671 2376732 4357342 6536013 8714684 13072026 26144052