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19982352 = 24313311033
BaseRepresentation
bin100110000111…
…0100000010000
31101121012122010
41030032200100
520103413402
61552142520
7331563405
oct114164020
941535563
1019982352
1110309045
126837a40
1341a83a0
1429222ac
151b4aa6c
hex130e810

19982352 has 80 divisors (see below), whose sum is σ = 57440768. Its totient is φ = 5944320.

The previous prime is 19982351. The next prime is 19982353. The reversal of 19982352 is 25328991.

It is an interprime number because it is at equal distance from previous prime (19982351) and next prime (19982353).

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

It is a self number, because there is not a number n which added to its sum of digits gives 19982352.

It is not an unprimeable number, because it can be changed into a prime (19982351) 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, 18828 + ... + 19860.

Almost surely, 219982352 is an apocalyptic number.

19982352 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 19982352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28720384).

19982352 is an abundant number, since it is smaller than the sum of its proper divisors (37458416).

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

19982352 is a wasteful number, since it uses less digits than its factorization.

19982352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 19982352 is about 4470.1624131568. The cubic root of 19982352 is about 271.3618980942.

The spelling of 19982352 in words is "nineteen million, nine hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1033 1209 1488 1612 2066 2418 3099 3224 4132 4836 6198 6448 8264 9672 12396 13429 16528 19344 24792 26858 32023 40287 49584 53716 64046 80574 96069 107432 128092 161148 192138 214864 256184 322296 384276 416299 512368 644592 768552 832598 1248897 1537104 1665196 2497794 3330392 4995588 6660784 9991176 19982352