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2502203424 = 253722112521
BaseRepresentation
bin1001010100100100…
…1001100000100000
320110101100002210220
42111021021200200
520111031002144
61052142523040
7116002243500
oct22511114040
96411302726
102502203424
111074479516
12599b96480
1330b521356
1419a465a00
15e9a13919
hex95249820

2502203424 has 144 divisors (see below), whose sum is σ = 7679913696. Its totient is φ = 711244800.

The previous prime is 2502203413. The next prime is 2502203447. The reversal of 2502203424 is 4243022052.

It is a happy number.

It is a super-3 number, since 3×25022034243 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2502203394 and 2502203403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991284 + ... + 993804.

It is an arithmetic number, because the mean of its divisors is an integer number (53332734).

Almost surely, 22502203424 is an apocalyptic number.

2502203424 is a gapful number since it is divisible by the number (24) 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 2502203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839956848).

2502203424 is an abundant number, since it is smaller than the sum of its proper divisors (5177710272).

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

2502203424 is a wasteful number, since it uses less digits than its factorization.

2502203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2502203424 is about 50022.0293870611. The cubic root of 2502203424 is about 1357.6074254055.

Adding to 2502203424 its reverse (4243022052), we get a palindrome (6745225476).

The spelling of 2502203424 in words is "two billion, five hundred two million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 211 224 294 336 392 422 588 633 672 784 844 1176 1266 1477 1568 1688 2352 2521 2532 2954 3376 4431 4704 5042 5064 5908 6752 7563 8862 10084 10128 10339 11816 15126 17647 17724 20168 20256 20678 23632 30252 31017 35294 35448 40336 41356 47264 52941 60504 62034 70588 70896 80672 82712 105882 121008 123529 124068 141176 141792 165424 211764 242016 247058 248136 282352 330848 370587 423528 494116 496272 531931 564704 741174 847056 988232 992544 1063862 1482348 1595793 1694112 1976464 2127724 2964696 3191586 3723517 3952928 4255448 5929392 6383172 7447034 8510896 11170551 11858784 12766344 14894068 17021792 22341102 25532688 26064619 29788136 44682204 51065376 52129238 59576272 78193857 89364408 104258476 119152544 156387714 178728816 208516952 312775428 357457632 417033904 625550856 834067808 1251101712 2502203424