Search a number
-
+
265505152 = 2711269701
BaseRepresentation
bin11111101001101…
…00100110000000
3200111121001121011
433310310212000
51020432131102
642202410304
76402520333
oct1764644600
9614531534
10265505152
11126963a50
1274b00994
1343010c53
142739461a
15184982d7
hexfd34980

265505152 has 64 divisors (see below), whose sum is σ = 579992400. Its totient is φ = 120064000.

The previous prime is 265505147. The next prime is 265505159. The reversal of 265505152 is 251505562.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265505159) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 378402 + ... + 379102.

Almost surely, 2265505152 is an apocalyptic number.

265505152 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 265505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289996200).

265505152 is an abundant number, since it is smaller than the sum of its proper divisors (314487248).

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

265505152 is a wasteful number, since it uses less digits than its factorization.

265505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 265505152 is about 16294.3288293811. The cubic root of 265505152 is about 642.7237045462.

The spelling of 265505152 in words is "two hundred sixty-five million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 269 352 538 701 704 1076 1402 1408 2152 2804 2959 4304 5608 5918 7711 8608 11216 11836 15422 17216 22432 23672 30844 34432 44864 47344 61688 89728 94688 123376 188569 189376 246752 377138 378752 493504 754276 987008 1508552 2074259 3017104 4148518 6034208 8297036 12068416 16594072 24136832 33188144 66376288 132752576 265505152