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240552828 = 22347110457
BaseRepresentation
bin11100101011010…
…00101101111100
3121202122100110000
432111220231330
5443040142303
635511514300
75650444125
oct1625505574
9552570400
10240552828
1111387099a
1268688990
133aab5669
1423d3b04c
15161b9da3
hexe568b7c

240552828 has 60 divisors (see below), whose sum is σ = 637770672. Its totient is φ = 79047360.

The previous prime is 240552827. The next prime is 240552833. The reversal of 240552828 is 828255042.

240552828 is a `hidden beast` number, since 24 + 0 + 552 + 82 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 240552792 and 240552801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240552827) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17776 + ... + 28232.

Almost surely, 2240552828 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 240552828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318885336).

240552828 is an abundant number, since it is smaller than the sum of its proper divisors (397217844).

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

240552828 is a wasteful number, since it uses less digits than its factorization.

240552828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10544 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 240552828 is about 15509.7655688279. The cubic root of 240552828 is about 621.9232922709.

The spelling of 240552828 in words is "two hundred forty million, five hundred fifty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2556 3834 5751 7668 10457 11502 20914 23004 31371 41828 62742 94113 125484 188226 282339 376452 564678 742447 847017 1129356 1484894 1694034 2227341 2969788 3388068 4454682 6682023 8909364 13364046 20046069 26728092 40092138 60138207 80184276 120276414 240552828