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424949328 = 24341312503
BaseRepresentation
bin11001010101000…
…011011001010000
31002121121122220000
4121111003121100
51332241334303
6110100050000
713350003216
oct3125033120
91077548800
10424949328
111a89667a1
12ba393900
136a06870b
144061acb6
1527490da3
hex19543650

424949328 has 100 divisors (see below), whose sum is σ = 1239810528. Its totient is φ = 140512320.

The previous prime is 424949321. The next prime is 424949353. The reversal of 424949328 is 823949424.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424949321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168525 + ... + 171027.

Almost surely, 2424949328 is an apocalyptic number.

424949328 is a gapful number since it is divisible by the number (48) 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 424949328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619905264).

424949328 is an abundant number, since it is smaller than the sum of its proper divisors (814861200).

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

424949328 is a wasteful number, since it uses less digits than its factorization.

424949328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2639 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 424949328 is about 20614.2991149348. The cubic root of 424949328 is about 751.8174164394.

The spelling of 424949328 in words is "four hundred twenty-four million, nine hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 324 393 432 524 648 786 1048 1179 1296 1572 2096 2358 2503 3144 3537 4716 5006 6288 7074 7509 9432 10012 10611 14148 15018 18864 20024 21222 22527 28296 30036 40048 42444 45054 56592 60072 67581 84888 90108 120144 135162 169776 180216 202743 270324 327893 360432 405486 540648 655786 810972 983679 1081296 1311572 1621944 1967358 2623144 2951037 3243888 3934716 5246288 5902074 7869432 8853111 11804148 15738864 17706222 23608296 26559333 35412444 47216592 53118666 70824888 106237332 141649776 212474664 424949328