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26997152 = 2571373127
BaseRepresentation
bin110011011111…
…1000110100000
31212210121010112
41212333012200
523402402102
62402350452
7445320620
oct146770640
955717115
1026997152
111426a3a6
12905b428
135793260
14382a880
152584252
hex19bf1a0

26997152 has 96 divisors (see below), whose sum is σ = 66834432. Its totient is φ = 10450944.

The previous prime is 26997127. The next prime is 26997167. The reversal of 26997152 is 25179962.

It is a super-2 number, since 2×269971522 = 1457692432222208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212513 + ... + 212639.

It is an arithmetic number, because the mean of its divisors is an integer number (696192).

Almost surely, 226997152 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 26997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33417216).

26997152 is an abundant number, since it is smaller than the sum of its proper divisors (39837280).

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

26997152 is a wasteful number, since it uses less digits than its factorization.

26997152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its digits is 68040, while the sum is 41.

The square root of 26997152 is about 5195.8783665517. The cubic root of 26997152 is about 299.9894514810.

The spelling of 26997152 in words is "twenty-six million, nine hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 73 91 104 112 127 146 182 208 224 254 292 364 416 508 511 584 728 889 949 1016 1022 1168 1456 1651 1778 1898 2032 2044 2336 2912 3302 3556 3796 4064 4088 6604 6643 7112 7592 8176 9271 11557 13208 13286 14224 15184 16352 18542 23114 26416 26572 28448 30368 37084 46228 52832 53144 64897 74168 92456 106288 120523 129794 148336 184912 212576 241046 259588 296672 369824 482092 519176 843661 964184 1038352 1687322 1928368 2076704 3374644 3856736 6749288 13498576 26997152