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5004214240 = 25573563761
BaseRepresentation
bin1001010100100011…
…00011111111100000
3110220202022102102011
410222101203333200
540222034323430
62144321402304
7235003055614
oct45221437740
913822272364
105004214240
112138826253
12b77a99394
136199a5b1c
1435687b344
151e44da22a
hex12a463fe0

5004214240 has 96 divisors (see below), whose sum is σ = 12021470496. Its totient is φ = 1968168960.

The previous prime is 5004214217. The next prime is 5004214249. The reversal of 5004214240 is 424124005.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004214249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6575460 + ... + 6576220.

It is an arithmetic number, because the mean of its divisors is an integer number (125223651).

Almost surely, 25004214240 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 5004214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010735248).

5004214240 is an abundant number, since it is smaller than the sum of its proper divisors (7017256256).

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

5004214240 is a wasteful number, since it uses less digits than its factorization.

5004214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 5004214240 is about 70740.4710190708. The cubic root of 5004214240 is about 1710.4562283694.

Adding to 5004214240 its reverse (424124005), we get a palindrome (5428338245).

The spelling of 5004214240 in words is "five billion, four million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 563 584 730 761 1126 1168 1460 1522 2252 2336 2815 2920 3044 3805 4504 5630 5840 6088 7610 9008 11260 11680 12176 15220 18016 22520 24352 30440 41099 45040 55553 60880 82198 90080 111106 121760 164396 205495 222212 277765 328792 410990 428443 444424 555530 657584 821980 856886 888848 1111060 1315168 1643960 1713772 1777696 2142215 2222120 3287920 3427544 4284430 4444240 6575840 6855088 8568860 8888480 13710176 17137720 31276339 34275440 62552678 68550880 125105356 156381695 250210712 312763390 500421424 625526780 1000842848 1251053560 2502107120 5004214240