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26452040 = 2353761293
BaseRepresentation
bin110010011101…
…0000001001000
31211202220101012
41210322001020
523232431130
62342543052
7440560436
oct144720110
954686335
1026452040
1113a2789a
128a37a88
1356320c4
143727d56
1524c7995
hex193a048

26452040 has 64 divisors (see below), whose sum is σ = 62339760. Its totient is φ = 10091520.

The previous prime is 26452033. The next prime is 26452067. The reversal of 26452040 is 4025462.

It can be written as a sum of positive squares in 8 ways, for example, as 16630084 + 9821956 = 4078^2 + 3134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26451997 and 26452015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90134 + ... + 90426.

Almost surely, 226452040 is an apocalyptic number.

26452040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169880).

26452040 is an abundant number, since it is smaller than the sum of its proper divisors (35887720).

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

26452040 is a wasteful number, since it uses less digits than its factorization.

26452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 26452040 is about 5143.1546739331. The cubic root of 26452040 is about 297.9566322789.

The spelling of 26452040 in words is "twenty-six million, four hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 185 244 293 296 305 370 488 586 610 740 1172 1220 1465 1480 2257 2344 2440 2930 4514 5860 9028 10841 11285 11720 17873 18056 21682 22570 35746 43364 45140 54205 71492 86728 89365 90280 108410 142984 178730 216820 357460 433640 661301 714920 1322602 2645204 3306505 5290408 6613010 13226020 26452040