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26987952 = 243717919
BaseRepresentation
bin110011011110…
…0110110110000
31212210010111210
41212330312300
523402103302
62402240120
7445252035
oct146746660
955703453
1026987952
11142634a2
129056040
13578c004
14382738c
15258166c
hex19bcdb0

26987952 has 40 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 8868160.

The previous prime is 26987929. The next prime is 26987953. The reversal of 26987952 is 25978962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (26987953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552 + ... + 7367.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 226987952 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 26987952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

26987952 is an abundant number, since it is smaller than the sum of its proper divisors (43721808).

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

26987952 is a wasteful number, since it uses less digits than its factorization.

26987952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001 (or 7995 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 26987952 is about 5194.9929740087. The cubic root of 26987952 is about 299.9553711390.

The spelling of 26987952 in words is "twenty-six million, nine hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 7919 15838 23757 31676 47514 63352 95028 126704 190056 380112 562249 1124498 1686747 2248996 3373494 4497992 6746988 8995984 13493976 26987952