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2255508752 = 24737719757
BaseRepresentation
bin1000011001110000…
…0101010100010000
312211012010201100012
42012130011110100
514104402240002
61011451214052
7106615336160
oct20634052420
95735121305
102255508752
11a581a3122
1252b447328
1329c398283
141757aa5a0
15d3033d52
hex86705510

2255508752 has 80 divisors (see below), whose sum is σ = 5143242240. Its totient is φ = 937972224.

The previous prime is 2255508737. The next prime is 2255508767. The reversal of 2255508752 is 2578055522.

It is an interprime number because it is at equal distance from previous prime (2255508737) and next prime (2255508767).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979158 + ... + 2979914.

It is an arithmetic number, because the mean of its divisors is an integer number (64290528).

Almost surely, 22255508752 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 2255508752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571621120).

2255508752 is an abundant number, since it is smaller than the sum of its proper divisors (2887733488).

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

2255508752 is a wasteful number, since it uses less digits than its factorization.

2255508752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 41.

The square root of 2255508752 is about 47492.1967485186. The cubic root of 2255508752 is about 1311.4392340070.

The spelling of 2255508752 in words is "two billion, two hundred fifty-five million, five hundred eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 719 757 1036 1438 1514 2072 2876 3028 4144 5033 5299 5752 6056 10066 10598 11504 12112 20132 21196 26603 28009 40264 42392 53206 56018 80528 84784 106412 112036 186221 196063 212824 224072 372442 392126 425648 448144 544283 744884 784252 1088566 1489768 1568504 2177132 2979536 3137008 3809981 4354264 7619962 8708528 15239924 20138471 30479848 40276942 60959696 80553884 140969297 161107768 281938594 322215536 563877188 1127754376 2255508752