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23479248 = 24313191197
BaseRepresentation
bin101100110010…
…0001111010000
31122011212110210
41121210033100
522002313443
62155124120
7403366422
oct131441720
948155423
1023479248
1112287341
127a43640
134b30c60
143192812
1520dbc33
hex16643d0

23479248 has 80 divisors (see below), whose sum is σ = 65995776. Its totient is φ = 7150080.

The previous prime is 23479243. The next prime is 23479259. The reversal of 23479248 is 84297432.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23479243) 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 15 ways as a sum of consecutive naturals, for example, 119086 + ... + 119282.

Almost surely, 223479248 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 23479248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888).

23479248 is an abundant number, since it is smaller than the sum of its proper divisors (42516528).

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

23479248 is a wasteful number, since it uses less digits than its factorization.

23479248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 23479248 is about 4845.5389793087. The cubic root of 23479248 is about 286.3483781788.

The spelling of 23479248 in words is "twenty-three million, four hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 197 208 312 382 394 573 591 624 764 788 1146 1182 1528 1576 2292 2364 2483 2561 3056 3152 4584 4728 4966 5122 7449 7683 9168 9456 9932 10244 14898 15366 19864 20488 29796 30732 37627 39728 40976 59592 61464 75254 112881 119184 122928 150508 225762 301016 451524 489151 602032 903048 978302 1467453 1806096 1956604 2934906 3913208 5869812 7826416 11739624 23479248