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252606000 = 2435342101
BaseRepresentation
bin11110000111001…
…11011000110000
3122121022201021210
433003213120300
51004131343000
641022120120
76155054433
oct1703473060
9577281253
10252606000
1111a653699
1270720040
134044590a
142579781a
151729b350
hexf0e7630

252606000 has 80 divisors (see below), whose sum is σ = 814421088. Its totient is φ = 67360000.

The previous prime is 252605999. The next prime is 252606017. The reversal of 252606000 is 606252.

252606000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 15051 + ... + 27050.

Almost surely, 2252606000 is an apocalyptic number.

252606000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252606000 is an abundant number, since it is smaller than the sum of its proper divisors (561815088).

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

252606000 is a wasteful number, since it uses less digits than its factorization.

252606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42127 (or 42111 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 252606000 is about 15893.5836110048. The cubic root of 252606000 is about 632.1418658188.

The spelling of 252606000 in words is "two hundred fifty-two million, six hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 42101 84202 126303 168404 210505 252606 336808 421010 505212 631515 673616 842020 1010424 1052525 1263030 1684040 2020848 2105050 2526060 3157575 3368080 4210100 5052120 5262625 6315150 8420200 10104240 10525250 12630300 15787875 16840400 21050500 25260600 31575750 42101000 50521200 63151500 84202000 126303000 252606000