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1002324252 = 223194499791
BaseRepresentation
bin111011101111100…
…100000100011100
32120212001100101110
4323233210010130
54023043334002
6243243142020
733560421066
oct7357440434
92525040343
101002324252
11474871056
1223b814910
1312c872097
1497194736
155cedee6c
hex3bbe411c

1002324252 has 48 divisors (see below), whose sum is σ = 2467584000. Its totient is φ = 315786240.

The previous prime is 1002324247. The next prime is 1002324263. The reversal of 1002324252 is 2524232001.

It is a super-2 number, since 2×10023242522 = 2009307812294719008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97477 + ... + 107267.

It is an arithmetic number, because the mean of its divisors is an integer number (51408000).

Almost surely, 21002324252 is an apocalyptic number.

1002324252 is a gapful number since it is divisible by the number (12) 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 1002324252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

1002324252 is an abundant number, since it is smaller than the sum of its proper divisors (1465259748).

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

1002324252 is a wasteful number, since it uses less digits than its factorization.

1002324252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1002324252 is about 31659.5049234823. The cubic root of 1002324252 is about 1000.7741512019.

Adding to 1002324252 its reverse (2524232001), we get a palindrome (3526556253).

The spelling of 1002324252 in words is "one billion, two million, three hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 449 898 1347 1796 2694 5388 8531 9791 17062 19582 25593 29373 34124 39164 51186 58746 102372 117492 186029 372058 558087 744116 1116174 2232348 4396159 8792318 13188477 17584636 26376954 52753908 83527021 167054042 250581063 334108084 501162126 1002324252