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425336800 = 25527151503
BaseRepresentation
bin11001010110100…
…001111111100000
31002122100100101211
4121112201333200
51332341234200
6110112235504
713353205660
oct3126417740
91078310354
10425336800
111a9100919
12ba53bb94
136a172ba5
14406bc1a0
152751aaba
hex195a1fe0

425336800 has 144 divisors (see below), whose sum is σ = 1196923392. Its totient is φ = 144576000.

The previous prime is 425336797. The next prime is 425336827. The reversal of 425336800 is 8633524.

It is a super-2 number, since 2×4253368002 = 361822786868480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845349 + ... + 845851.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2425336800 is an apocalyptic number.

425336800 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 425336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598461696).

425336800 is an abundant number, since it is smaller than the sum of its proper divisors (771586592).

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

425336800 is a wasteful number, since it uses less digits than its factorization.

425336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 425336800 is about 20623.6951102367. The cubic root of 425336800 is about 752.0458512861.

The spelling of 425336800 in words is "four hundred twenty-five million, three hundred thirty-six thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 151 160 175 200 224 280 302 350 400 503 560 604 700 755 800 1006 1057 1120 1208 1400 1510 2012 2114 2416 2515 2800 3020 3521 3775 4024 4228 4832 5030 5285 5600 6040 7042 7550 8048 8456 10060 10570 12080 12575 14084 15100 16096 16912 17605 20120 21140 24160 25150 26425 28168 30200 33824 35210 40240 42280 50300 52850 56336 60400 70420 75953 80480 84560 88025 100600 105700 112672 120800 140840 151906 169120 176050 201200 211400 281680 303812 352100 379765 402400 422800 531671 563360 607624 704200 759530 845600 1063342 1215248 1408400 1519060 1898825 2126684 2430496 2658355 2816800 3038120 3797650 4253368 5316710 6076240 7595300 8506736 10633420 12152480 13291775 15190600 17013472 21266840 26583550 30381200 42533680 53167100 60762400 85067360 106334200 212668400 425336800