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24421712 = 2472973103
BaseRepresentation
bin101110100101…
…0010101010000
31200221202021212
41131022111100
522222443322
62231235252
7414403220
oct135122520
950852255
1024421712
1112870437
128218b28
1350a0c23
14335a080
1522260e2
hex174a550

24421712 has 80 divisors (see below), whose sum is σ = 57258240. Its totient is φ = 9870336.

The previous prime is 24421687. The next prime is 24421723. The reversal of 24421712 is 21712442.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

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, 237053 + ... + 237155.

It is an arithmetic number, because the mean of its divisors is an integer number (715728).

Almost surely, 224421712 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 24421712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28629120).

24421712 is an abundant number, since it is smaller than the sum of its proper divisors (32836528).

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

24421712 is a wasteful number, since it uses less digits than its factorization.

24421712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 24421712 is about 4941.8328583634. The cubic root of 24421712 is about 290.1295972485.

The spelling of 24421712 in words is "twenty-four million, four hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 73 103 112 116 146 203 206 232 292 406 412 464 511 584 721 812 824 1022 1168 1442 1624 1648 2044 2117 2884 2987 3248 4088 4234 5768 5974 7519 8176 8468 11536 11948 14819 15038 16936 20909 23896 29638 30076 33872 41818 47792 52633 59276 60152 83636 105266 118552 120304 167272 210532 218051 237104 334544 421064 436102 842128 872204 1526357 1744408 3052714 3488816 6105428 12210856 24421712