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295556052 = 223112297019
BaseRepresentation
bin10001100111011…
…101001111010100
3202121010210200110
4101213131033110
51101130243202
645154443020
710216120311
oct2147351724
9677123613
10295556052
11141919700
1282b93470
134930314c
142b377d08
151ae3226c
hex119dd3d4

295556052 has 72 divisors (see below), whose sum is σ = 784274400. Its totient is φ = 86461760.

The previous prime is 295556047. The next prime is 295556059. The reversal of 295556052 is 250655592.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 295556052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295556059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38599 + ... + 45617.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 2295556052 is an apocalyptic number.

295556052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295556052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

295556052 is an abundant number, since it is smaller than the sum of its proper divisors (488718348).

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

295556052 is a wasteful number, since it uses less digits than its factorization.

295556052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 295556052 is about 17191.7437160981. The cubic root of 295556052 is about 666.1110204590. Note that the first 3 decimals are identical.

The spelling of 295556052 in words is "two hundred ninety-five million, five hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 957 1276 1452 1914 3509 3828 7018 7019 10527 14036 14038 21054 21057 28076 42108 42114 77209 84228 154418 203551 231627 308836 407102 463254 610653 814204 849299 926508 1221306 1698598 2239061 2442612 2547897 3397196 4478122 5095794 6717183 8956244 10191588 13434366 24629671 26868732 49259342 73889013 98518684 147778026 295556052