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19442472 = 2337196091
BaseRepresentation
bin100101000101…
…0101100101000
31100120210001120
41022022230220
514434124342
61532415240
7324154410
oct112125450
940523046
1019442472
11aa7a465
126617520
13404972a
142821640
151a90aec
hex128ab28

19442472 has 64 divisors (see below), whose sum is σ = 58483200. Its totient is φ = 5261760.

The previous prime is 19442471. The next prime is 19442473. The reversal of 19442472 is 27424491.

It is an interprime number because it is at equal distance from previous prime (19442471) and next prime (19442473).

It is not an unprimeable number, because it can be changed into a prime (19442471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147 + ... + 6237.

It is an arithmetic number, because the mean of its divisors is an integer number (913800).

Almost surely, 219442472 is an apocalyptic number.

19442472 is a gapful number since it is divisible by the number (12) 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 19442472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29241600).

19442472 is an abundant number, since it is smaller than the sum of its proper divisors (39040728).

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

19442472 is a wasteful number, since it uses less digits than its factorization.

19442472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 6122 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 19442472 is about 4409.3618585913. The cubic root of 19442472 is about 268.8956814632.

The spelling of 19442472 in words is "nineteen million, four hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 6091 12182 18273 24364 36546 42637 48728 73092 85274 115729 127911 146184 170548 231458 255822 341096 347187 462916 511644 694374 810103 925832 1023288 1388748 1620206 2430309 2777496 3240412 4860618 6480824 9721236 19442472