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424620512 = 2519611072
BaseRepresentation
bin11001010011110…
…011000111100000
31002120222221211122
4121103303013200
51332200324022
6110045031412
713344133451
oct3123630740
91076887748
10424620512
111a8761748
12ba255568
1369c81b54
1440573128
1527428742
hex194f31e0

424620512 has 72 divisors (see below), whose sum is σ = 902832840. Its totient is φ = 195989760.

The previous prime is 424620491. The next prime is 424620517. The reversal of 424620512 is 215026424.

It is a super-2 number, since 2×4246205122 = 360605158422284288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424620517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3968363 + ... + 3968469.

It is an arithmetic number, because the mean of its divisors is an integer number (12539345).

Almost surely, 2424620512 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 424620512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451416420).

424620512 is an abundant number, since it is smaller than the sum of its proper divisors (478212328).

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

424620512 is a wasteful number, since it uses less digits than its factorization.

424620512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 424620512 is about 20606.3221366648. The cubic root of 424620512 is about 751.6234534039.

Adding to 424620512 its reverse (215026424), we get a palindrome (639646936).

The spelling of 424620512 in words is "four hundred twenty-four million, six hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 61 76 107 122 152 214 244 304 428 488 608 856 976 1159 1712 1952 2033 2318 3424 4066 4636 6527 8132 9272 11449 13054 16264 18544 22898 26108 32528 37088 45796 52216 65056 91592 104432 124013 183184 208864 217531 248026 366368 435062 496052 698389 870124 992104 1396778 1740248 1984208 2793556 3480496 3968416 5587112 6960992 11174224 13269391 22348448 26538782 53077564 106155128 212310256 424620512