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24890496 = 273531223
BaseRepresentation
bin101111011110…
…0110010000000
31201211120100020
41132330302000
522332443441
62245253440
7421365021
oct136746200
951746306
1024890496
1113060664
128404280
135206407
14343cc48
1522b9e66
hex17bcc80

24890496 has 64 divisors (see below), whose sum is σ = 67417920. Its totient is φ = 8133632.

The previous prime is 24890479. The next prime is 24890519. The reversal of 24890496 is 69409842.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×248904962 = 1239073582252032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19741 + ... + 20963.

It is an arithmetic number, because the mean of its divisors is an integer number (1053405).

Almost surely, 224890496 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 24890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33708960).

24890496 is an abundant number, since it is smaller than the sum of its proper divisors (42527424).

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

24890496 is a wasteful number, since it uses less digits than its factorization.

24890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 24890496 is about 4989.0375825403. The cubic root of 24890496 is about 291.9742267863.

The spelling of 24890496 in words is "twenty-four million, eight hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1223 1272 1696 2446 2544 3392 3669 4892 5088 6784 7338 9784 10176 14676 19568 20352 29352 39136 58704 64819 78272 117408 129638 156544 194457 234816 259276 388914 469632 518552 777828 1037104 1555656 2074208 3111312 4148416 6222624 8296832 12445248 24890496