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30252432 = 2437179503
BaseRepresentation
bin111001101100…
…1110110010000
32002220222112110
41303121312100
530221034212
63000225320
7515066340
oct163316620
962828473
1030252432
1116093111
12a16b240
136362b62
144036d20
1529c8a3c
hex1cd9d90

30252432 has 80 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 8578176.

The previous prime is 30252413. The next prime is 30252433. The reversal of 30252432 is 23425203.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30252399 and 30252408.

It is not an unprimeable number, because it can be changed into a prime (30252433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59893 + ... + 60395.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 230252432 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 30252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

30252432 is an abundant number, since it is smaller than the sum of its proper divisors (59741808).

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

30252432 is a wasteful number, since it uses less digits than its factorization.

30252432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 30252432 is about 5500.2210864655. The cubic root of 30252432 is about 311.5923341022.

Adding to 30252432 its reverse (23425203), we get a palindrome (53677635).

The spelling of 30252432 in words is "thirty million, two hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 503 537 716 1006 1074 1253 1432 1509 2012 2148 2506 2864 3018 3521 3759 4024 4296 5012 6036 7042 7518 8048 8592 10024 10563 12072 14084 15036 20048 21126 24144 28168 30072 42252 56336 60144 84504 90037 169008 180074 270111 360148 540222 630259 720296 1080444 1260518 1440592 1890777 2160888 2521036 3781554 4321776 5042072 7563108 10084144 15126216 30252432