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2534224352 = 251128125621
BaseRepresentation
bin1001011100001101…
…0011000111100000
320112121120221021012
42113003103013200
520142230134402
61055245120052
7116541360122
oct22703230740
96477527235
102534224352
11109055a2a0
125a8859028
1331505314a
141a07dd212
15ec73b452
hex970d31e0

2534224352 has 48 divisors (see below), whose sum is σ = 5462405424. Its totient is φ = 1147776000.

The previous prime is 2534224327. The next prime is 2534224367.

2534224352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86102 + ... + 111722.

It is an arithmetic number, because the mean of its divisors is an integer number (113800113).

Almost surely, 22534224352 is an apocalyptic number.

2534224352 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 2534224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731202712).

2534224352 is an abundant number, since it is smaller than the sum of its proper divisors (2928181072).

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

2534224352 is a wasteful number, since it uses less digits than its factorization.

2534224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25923 (or 25915 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

The square root of 2534224352 is about 50341.0801632226. The cubic root of 2534224352 is about 1363.3740387666.

It can be divided in two parts, 25342 and 24352, that added together give a palindrome (49694).

The spelling of 2534224352 in words is "two billion, five hundred thirty-four million, two hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 281 352 562 1124 2248 3091 4496 6182 8992 12364 24728 25621 49456 51242 98912 102484 204968 281831 409936 563662 819872 1127324 2254648 4509296 7199501 9018592 14399002 28798004 57596008 79194511 115192016 158389022 230384032 316778044 633556088 1267112176 2534224352