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4245455040 = 263521120959
BaseRepresentation
bin1111110100001100…
…1000000011000000
3101221212120110110120
43331003020003000
532143314030130
61541134500240
7210130525641
oct37503100300
911855513416
104245455040
1118894a3232
129a5964680
13528732498
142c3ba96c8
1519caac910
hexfd0c80c0

4245455040 has 112 divisors (see below), whose sum is σ = 13543848960. Its totient is φ = 1126702080.

The previous prime is 4245454957. The next prime is 4245455083. The reversal of 4245455040 is 405545424.

It is a super-2 number, since 2×42454550402 = 36047776993322803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4245454992 and 4245455010.

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, 192081 + ... + 213039.

Almost surely, 24245455040 is an apocalyptic number.

4245455040 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 4245455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771924480).

4245455040 is an abundant number, since it is smaller than the sum of its proper divisors (9298393920).

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

4245455040 is a wasteful number, since it uses less digits than its factorization.

4245455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21190 (or 21180 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The square root of 4245455040 is about 65157.1564757088. The cubic root of 4245455040 is about 1619.2282866087.

The spelling of 4245455040 in words is "four billion, two hundred forty-five million, four hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 211 240 320 422 480 633 844 960 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 13504 16880 20256 20959 25320 33760 40512 41918 50640 62877 67520 83836 101280 104795 125754 167672 202560 209590 251508 314385 335344 419180 503016 628770 670688 838360 1006032 1257540 1341376 1676720 2012064 2515080 3353440 4024128 4422349 5030160 6706880 8844698 10060320 13267047 17689396 20120640 22111745 26534094 35378792 44223490 53068188 66335235 70757584 88446980 106136376 132670470 141515168 176893960 212272752 265340940 283030336 353787920 424545504 530681880 707575840 849091008 1061363760 1415151680 2122727520 4245455040