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52419432 = 23313179883
BaseRepresentation
bin1100011111110…
…1101101101000
310122122011221110
43013331231220
5101404410212
65111310320
71204362222
oct307755550
9118564843
1052419432
112765354a
121567b3a0
13ab24720
146d67412
154906a3c
hex31fdb68

52419432 has 64 divisors (see below), whose sum is σ = 149446080. Its totient is φ = 15178752.

The previous prime is 52419401. The next prime is 52419439. The reversal of 52419432 is 23491425.

It is a self number, because there is not a number n which added to its sum of digits gives 52419432.

It is not an unprimeable number, because it can be changed into a prime (52419439) 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, 363 + ... + 10245.

It is an arithmetic number, because the mean of its divisors is an integer number (2335095).

Almost surely, 252419432 is an apocalyptic number.

52419432 is a gapful number since it is divisible by the number (52) 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 52419432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74723040).

52419432 is an abundant number, since it is smaller than the sum of its proper divisors (97026648).

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

52419432 is a wasteful number, since it uses less digits than its factorization.

52419432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 9918 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 52419432 is about 7240.1265182316. The cubic root of 52419432 is about 374.2519773355.

The spelling of 52419432 in words is "fifty-two million, four hundred nineteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 9883 19766 29649 39532 59298 79064 118596 128479 168011 237192 256958 336022 385437 504033 513916 672044 770874 1008066 1027832 1344088 1541748 2016132 2184143 3083496 4032264 4368286 6552429 8736572 13104858 17473144 26209716 52419432