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2420026048 = 261119239757
BaseRepresentation
bin1001000000111110…
…1010101011000000
320020122201001122101
42100033222223000
514424011313143
61040045320144
7113653611346
oct22017525300
96218631571
102420026048
111032050430
12576566054
132c74aab9b
1418d593996
15e26ceb4d
hex903eaac0

2420026048 has 112 divisors (see below), whose sum is σ = 5544921600. Its totient is φ = 1036385280.

The previous prime is 2420026013. The next prime is 2420026061. The reversal of 2420026048 is 8406200242.

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, 3196486 + ... + 3197242.

Almost surely, 22420026048 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 2420026048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772460800).

2420026048 is an abundant number, since it is smaller than the sum of its proper divisors (3124895552).

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

2420026048 is a wasteful number, since it uses less digits than its factorization.

2420026048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2420026048 is about 49193.7602547315. The cubic root of 2420026048 is about 1342.5795058953.

The spelling of 2420026048 in words is "two billion, four hundred twenty million, twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 239 304 352 418 478 608 704 757 836 956 1216 1514 1672 1912 2629 3028 3344 3824 4541 5258 6056 6688 7648 8327 9082 10516 12112 13376 14383 15296 16654 18164 21032 24224 28766 33308 36328 42064 48448 49951 57532 66616 72656 84128 99902 115064 133232 145312 158213 168256 180923 199804 230128 266464 290624 316426 361846 399608 460256 532928 632852 723692 799216 920512 1265704 1447384 1598432 1990153 2531408 2894768 3196864 3437537 3980306 5062816 5789536 6875074 7960612 10125632 11579072 13750148 15921224 27500296 31842448 37812907 55000592 63684896 75625814 110001184 127369792 151251628 220002368 302503256 605006512 1210013024 2420026048