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4265725440 = 2935717823
BaseRepresentation
bin1111111001000001…
…1100111000000000
3102000021201022020010
43332100130320000
532214011203230
61543141144520
7210465032214
oct37620347000
912007638203
104265725440
111899988729
129b06bb140
1352c9ab9c2
142c6764944
1519e7639b0
hexfe41ce00

4265725440 has 160 divisors (see below), whose sum is σ = 13830829056. Its totient is φ = 1121361920.

The previous prime is 4265725439. The next prime is 4265725463. The reversal of 4265725440 is 445275624.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 541369 + ... + 549191.

Almost surely, 24265725440 is an apocalyptic number.

4265725440 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 4265725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915414528).

4265725440 is an abundant number, since it is smaller than the sum of its proper divisors (9565103616).

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

4265725440 is an equidigital number, since it uses as much as digits as its factorization.

4265725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The square root of 4265725440 is about 65312.5213110013. The cubic root of 4265725440 is about 1621.8012581587.

The spelling of 4265725440 in words is "four billion, two hundred sixty-five million, seven hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 512 568 640 710 768 852 960 1065 1136 1280 1420 1536 1704 1920 2130 2272 2560 2840 3408 3840 4260 4544 5680 6816 7680 7823 8520 9088 11360 13632 15646 17040 18176 22720 23469 27264 31292 34080 36352 39115 45440 46938 54528 62584 68160 78230 90880 93876 109056 117345 125168 136320 156460 181760 187752 234690 250336 272640 312920 375504 469380 500672 545280 555433 625840 751008 938760 1001344 1110866 1251680 1502016 1666299 1877520 2002688 2221732 2503360 2777165 3004032 3332598 3755040 4005376 4443464 5006720 5554330 6008064 6665196 7510080 8331495 8886928 10013440 11108660 12016128 13330392 15020160 16662990 17773856 20026880 22217320 26660784 30040320 33325980 35547712 44434640 53321568 60080640 66651960 71095424 88869280 106643136 133303920 142190848 177738560 213286272 266607840 284381696 355477120 426572544 533215680 710954240 853145088 1066431360 1421908480 2132862720 4265725440