Search a number
-
+
424020432 = 243113732153
BaseRepresentation
bin11001010001100…
…000100111010000
31002112212110200110
4121101200213100
51332022123212
6110024121320
713336054113
oct3121404720
91075773613
10424020432
111a8391910
12ba006240
1369b01984
144045857a
152735aa3c
hex194609d0

424020432 has 80 divisors (see below), whose sum is σ = 1198726848. Its totient is φ = 128087040.

The previous prime is 424020383. The next prime is 424020437. The reversal of 424020432 is 234020424.

It is a junction number, because it is equal to n+sod(n) for n = 424020399 and 424020408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424020437) by changing a digit.

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, 195868 + ... + 198020.

Almost surely, 2424020432 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 424020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599363424).

424020432 is an abundant number, since it is smaller than the sum of its proper divisors (774706416).

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

424020432 is a wasteful number, since it uses less digits than its factorization.

424020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 424020432 is about 20591.7564088156. The cubic root of 424020432 is about 751.2692180137.

Adding to 424020432 its reverse (234020424), we get a palindrome (658040856).

The spelling of 424020432 in words is "four hundred twenty-four million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 373 528 746 1119 1492 2153 2238 2984 4103 4306 4476 5968 6459 8206 8612 8952 12309 12918 16412 17224 17904 23683 24618 25836 32824 34448 47366 49236 51672 65648 71049 94732 98472 103344 142098 189464 196944 284196 378928 568392 803069 1136784 1606138 2409207 3212276 4818414 6424552 8833759 9636828 12849104 17667518 19273656 26501277 35335036 38547312 53002554 70670072 106005108 141340144 212010216 424020432