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1424077248 = 263112923251
BaseRepresentation
bin101010011100001…
…1011000111000000
310200020122121201210
41110320123013000
510404030432443
6353150530120
750201312466
oct12470330700
93606577653
101424077248
11670944350
12338b06940
1319905b979
14d71bc836
158504dc33
hex54e1b1c0

1424077248 has 112 divisors (see below), whose sum is σ = 4252325760. Its totient is φ = 416640000.

The previous prime is 1424077183. The next prime is 1424077271. The reversal of 1424077248 is 8427704241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 49623 + ... + 72873.

Almost surely, 21424077248 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 1424077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126162880).

1424077248 is an abundant number, since it is smaller than the sum of its proper divisors (2828248512).

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

1424077248 is a wasteful number, since it uses less digits than its factorization.

1424077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23306 (or 23296 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The square root of 1424077248 is about 37736.9480482988. The cubic root of 1424077248 is about 1125.0656088157.

The spelling of 1424077248 in words is "one billion, four hundred twenty-four million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3828 5104 5568 7656 10208 15312 20416 23251 30624 46502 61248 69753 93004 139506 186008 255761 279012 372016 511522 558024 674279 744032 767283 1023044 1116048 1348558 1488064 1534566 2022837 2046088 2232096 2697116 3069132 4045674 4092176 4464192 5394232 6138264 7417069 8091348 8184352 10788464 12276528 14834138 16182696 16368704 21576928 22251207 24553056 29668276 32365392 43153856 44502414 49106112 59336552 64730784 89004828 118673104 129461568 178009656 237346208 356019312 474692416 712038624 1424077248