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4245030048 = 253723926431
BaseRepresentation
bin1111110100000110…
…0000010010100000
3101221211202212111010
43331001200102200
532143211430143
61541121420520
7210124105620
oct37501402240
911854685433
104245030048
1118892329a6
129a579a740
13528613bcc
142c3ad8880
1519ca26a33
hexfd0604a0

4245030048 has 96 divisors (see below), whose sum is σ = 12788858880. Its totient is φ = 1207745280.

The previous prime is 4245030037. The next prime is 4245030073. The reversal of 4245030048 is 8400305424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4245029997 and 4245030024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147393 + ... + 173823.

It is an arithmetic number, because the mean of its divisors is an integer number (133217280).

Almost surely, 24245030048 is an apocalyptic number.

4245030048 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 4245030048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394429440).

4245030048 is an abundant number, since it is smaller than the sum of its proper divisors (8543828832).

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

4245030048 is a wasteful number, since it uses less digits than its factorization.

4245030048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26690 (or 26682 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4245030048 is about 65153.8951099625. The cubic root of 4245030048 is about 1619.1742537645.

The spelling of 4245030048 in words is "four billion, two hundred forty-five million, thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 7648 10038 11472 13384 20076 22944 26431 26768 40152 52862 53536 79293 80304 105724 158586 160608 185017 211448 317172 370034 422896 555051 634344 740068 845792 1110102 1268688 1480136 2220204 2537376 2960272 4440408 5920544 6317009 8880816 12634018 17761632 18951027 25268036 37902054 44219063 50536072 75804108 88438126 101072144 132657189 151608216 176876252 202144288 265314378 303216432 353752504 530628756 606432864 707505008 1061257512 1415010016 2122515024 4245030048