[go: up one dir, main page]

Search a number
-
+
26551152 = 24356829
BaseRepresentation
bin110010101001…
…0001101110000
31211221221100000
41211102031300
523244114102
62345030000
7441452415
oct145221560
954857300
1026551152
1113a95301
128a85300
135668254
14375210c
1524e701c
hex1952370

26551152 has 60 divisors (see below), whose sum is σ = 77069720. Its totient is φ = 8849088.

The previous prime is 26551139. The next prime is 26551157. The reversal of 26551152 is 25115562.

26551152 is a `hidden beast` number, since 2 + 655 + 1 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26551157) 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 11 ways as a sum of consecutive naturals, for example, 474 + ... + 7302.

Almost surely, 226551152 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 26551152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38534860).

26551152 is an abundant number, since it is smaller than the sum of its proper divisors (50518568).

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

26551152 is an equidigital number, since it uses as much as digits as its factorization.

26551152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6834 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 26551152 is about 5152.7809967046. The cubic root of 26551152 is about 298.3283020558.

The spelling of 26551152 in words is "twenty-six million, five hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 6829 13658 20487 27316 40974 54632 61461 81948 109264 122922 163896 184383 245844 327792 368766 491688 553149 737532 983376 1106298 1475064 1659447 2212596 2950128 3318894 4425192 6637788 8850384 13275576 26551152