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26876052 = 22327234637
BaseRepresentation
bin110011010000…
…1100010010100
31212120110000100
41212201202110
523340013202
62400014100
7444304560
oct146414224
955513010
1026876052
1114197415
129001330
1357500b8
1437d86a0
15255d41c
hex19a1894

26876052 has 72 divisors (see below), whose sum is σ = 81035136. Its totient is φ = 7343424.

The previous prime is 26876041. The next prime is 26876053. The reversal of 26876052 is 25067862.

It is a super-2 number, since 2×268760522 = 1444644342213408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 26875998 and 26876016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26876053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3478 + ... + 8114.

It is an arithmetic number, because the mean of its divisors is an integer number (1125488).

Almost surely, 226876052 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 26876052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40517568).

26876052 is an abundant number, since it is smaller than the sum of its proper divisors (54159084).

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

26876052 is a wasteful number, since it uses less digits than its factorization.

26876052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 26876052 is about 5184.2118012288. The cubic root of 26876052 is about 299.5402290622.

The spelling of 26876052 in words is "twenty-six million, eight hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 4637 5796 9274 13911 18548 27822 32459 41733 55644 64918 83466 97377 106651 129836 166932 194754 213302 292131 319953 389508 426604 584262 639906 746557 959859 1168524 1279812 1493114 1919718 2239671 2986228 3839436 4479342 6719013 8958684 13438026 26876052