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1002355242 = 237671073329
BaseRepresentation
bin111011101111101…
…011101000101010
32120212002220220020
4323233223220222
54023100331432
6243243541310
733560610330
oct7357535052
92525086806
101002355242
11474892369
1223b82a836
1312c883215
14971a1b50
155cee922c
hex3bbeba2a

1002355242 has 64 divisors (see below), whose sum is σ = 2347729920. Its totient is φ = 279392256.

The previous prime is 1002355201. The next prime is 1002355243. The reversal of 1002355242 is 2425532001.

It is not an unprimeable number, because it can be changed into a prime (1002355243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299434 + ... + 302762.

It is an arithmetic number, because the mean of its divisors is an integer number (36683280).

Almost surely, 21002355242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002355242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173864960).

1002355242 is an abundant number, since it is smaller than the sum of its proper divisors (1345374678).

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

1002355242 is a wasteful number, since it uses less digits than its factorization.

1002355242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1002355242 is about 31659.9943461776. The cubic root of 1002355242 is about 1000.7844651202.

Adding to 1002355242 its reverse (2425532001), we get a palindrome (3427887243).

The spelling of 1002355242 in words is "one billion, two million, three hundred fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 67 107 134 201 214 321 402 469 642 749 938 1407 1498 2247 2814 3329 4494 6658 7169 9987 14338 19974 21507 23303 43014 46606 50183 69909 100366 139818 150549 223043 301098 356203 446086 669129 712406 1068609 1338258 1561301 2137218 2493421 3122602 4683903 4986842 7480263 9367806 14960526 23865601 47731202 71596803 143193606 167059207 334118414 501177621 1002355242