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68649200 = 2452732351
BaseRepresentation
bin1000001011110…
…00000011110000
311210011201222222
410011320003300
5120033233300
610451220212
71462336304
oct405700360
9153151888
1068649200
1135829184
121aba7668
13112b7a39
14918dd04
156060785
hex41780f0

68649200 has 60 divisors (see below), whose sum is σ = 167260128. Its totient is φ = 27072000.

The previous prime is 68649197. The next prime is 68649239. The reversal of 68649200 is 294686.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28025 + ... + 30375.

Almost surely, 268649200 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 68649200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83630064).

68649200 is an abundant number, since it is smaller than the sum of its proper divisors (98610928).

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

68649200 is a wasteful number, since it uses less digits than its factorization.

68649200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 68649200 is about 8285.4812775119. The cubic root of 68649200 is about 409.4603250463.

The spelling of 68649200 in words is "sixty-eight million, six hundred forty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2351 2920 3650 4702 5840 7300 9404 11755 14600 18808 23510 29200 37616 47020 58775 94040 117550 171623 188080 235100 343246 470200 686492 858115 940400 1372984 1716230 2745968 3432460 4290575 6864920 8581150 13729840 17162300 34324600 68649200