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4245754440 = 2335193750329
BaseRepresentation
bin1111110100010001…
…0001001001001000
3101221220010200011110
43331010101021020
532143403120230
61541145130320
7210133213554
oct37504211110
911856120143
104245754440
111889688174
129a5a899a0
13528808845
142c3c46864
1519cb1b4b0
hexfd111248

4245754440 has 128 divisors (see below), whose sum is σ = 13770288000. Its totient is φ = 1043601408.

The previous prime is 4245754417. The next prime is 4245754453. The reversal of 4245754440 is 444575424.

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 31 ways as a sum of consecutive naturals, for example, 59196 + ... + 109524.

It is an arithmetic number, because the mean of its divisors is an integer number (107580375).

Almost surely, 24245754440 is an apocalyptic number.

4245754440 is a gapful number since it is divisible by the number (40) 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 4245754440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885144000).

4245754440 is an abundant number, since it is smaller than the sum of its proper divisors (9524533560).

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

4245754440 is a wasteful number, since it uses less digits than its factorization.

4245754440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50399 (or 50395 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 39.

The square root of 4245754440 is about 65159.4539571964. The cubic root of 4245754440 is about 1619.2663497098.

The spelling of 4245754440 in words is "four billion, two hundred forty-five million, seven hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1406 1480 2109 2220 2280 2812 3515 4218 4440 5624 7030 8436 10545 14060 16872 21090 28120 42180 50329 84360 100658 150987 201316 251645 301974 402632 503290 603948 754935 956251 1006580 1207896 1509870 1862173 1912502 2013160 2868753 3019740 3724346 3825004 4781255 5586519 5737506 6039480 7448692 7650008 9310865 9562510 11173038 11475012 14343765 14897384 18621730 19125020 22346076 22950024 27932595 28687530 35381287 37243460 38250040 44692152 55865190 57375060 70762574 74486920 106143861 111730380 114750120 141525148 176906435 212287722 223460760 283050296 353812870 424575444 530719305 707625740 849150888 1061438610 1415251480 2122877220 4245754440