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26072442 = 235114877
BaseRepresentation
bin110001101110…
…1010101111010
31211001121200000
41203131111322
523133304232
62330453430
7434416644
oct143352572
954047600
1026072442
1113798680
128894276
13552b3a6
143669894
15245027c
hex18dd57a

26072442 has 48 divisors (see below), whose sum is σ = 63921312. Its totient is φ = 7899120.

The previous prime is 26072429. The next prime is 26072477. The reversal of 26072442 is 24427062.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2908 + ... + 7784.

It is an arithmetic number, because the mean of its divisors is an integer number (1331694).

Almost surely, 226072442 is an apocalyptic number.

26072442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26072442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31960656).

26072442 is an abundant number, since it is smaller than the sum of its proper divisors (37848870).

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

26072442 is a wasteful number, since it uses less digits than its factorization.

26072442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 26072442 is about 5106.1180949915. The cubic root of 26072442 is about 296.5244916244.

The spelling of 26072442 in words is "twenty-six million, seventy-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 4877 5346 9754 14631 29262 43893 53647 87786 107294 131679 160941 263358 321882 395037 482823 790074 965646 1185111 1448469 2370222 2896938 4345407 8690814 13036221 26072442