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252063408 = 24341263487
BaseRepresentation
bin11110000011000…
…10111010110000
3122120022010222210
433001202322300
51004012012113
641002332120
76150334512
oct1701427260
9576263883
10252063408
1111a312a73
12704ba040
13402b595c
1425695bb2
15171e06c3
hexf062eb0

252063408 has 80 divisors (see below), whose sum is σ = 670957056. Its totient is φ = 81492480.

The previous prime is 252063373. The next prime is 252063433. The reversal of 252063408 is 804360252.

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 15 ways as a sum of consecutive naturals, for example, 517341 + ... + 517827.

Almost surely, 2252063408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252063408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335478528).

252063408 is an abundant number, since it is smaller than the sum of its proper divisors (418893648).

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

252063408 is a wasteful number, since it uses less digits than its factorization.

252063408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 252063408 is about 15876.5049050476. The cubic root of 252063408 is about 631.6889325358.

The spelling of 252063408 in words is "two hundred fifty-two million, sixty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 263 328 487 492 526 656 789 974 984 1052 1461 1578 1948 1968 2104 2922 3156 3896 4208 5844 6312 7792 10783 11688 12624 19967 21566 23376 32349 39934 43132 59901 64698 79868 86264 119802 128081 129396 159736 172528 239604 256162 258792 319472 384243 479208 512324 517584 768486 958416 1024648 1536972 2049296 3073944 5251321 6147888 10502642 15753963 21005284 31507926 42010568 63015852 84021136 126031704 252063408