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245720088 = 23336716979
BaseRepresentation
bin11101010010101…
…10010000011000
3122010100212121000
432221112100120
51000401020323
640214345000
76042405045
oct1651262030
9563325530
10245720088
11116780159
126a35b160
133bba4603
14248c41cc
151688ae43
hexea56418

245720088 has 64 divisors (see below), whose sum is σ = 692784000. Its totient is φ = 80679456.

The previous prime is 245720087. The next prime is 245720107. The reversal of 245720088 is 880027542.

It is a happy number.

245720088 is a `hidden beast` number, since 2 + 4 + 572 + 0 + 0 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245720087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5983 + ... + 22961.

It is an arithmetic number, because the mean of its divisors is an integer number (10824750).

Almost surely, 2245720088 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 245720088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346392000).

245720088 is an abundant number, since it is smaller than the sum of its proper divisors (447063912).

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

245720088 is a wasteful number, since it uses less digits than its factorization.

245720088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17061 (or 17051 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 245720088 is about 15675.4613329241. The cubic root of 245720088 is about 626.3449122883.

The spelling of 245720088 in words is "two hundred forty-five million, seven hundred twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 16979 33958 50937 67916 101874 135832 152811 203748 305622 407496 458433 611244 916866 1137593 1222488 1833732 2275186 3412779 3667464 4550372 6825558 9100744 10238337 13651116 20476674 27302232 30715011 40953348 61430022 81906696 122860044 245720088