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2427117472 = 2513173111071
BaseRepresentation
bin1001000010101010…
…1101111110100000
320021011001100020201
42100222231332200
514432320224342
61040501314544
7114101105143
oct22052557640
96234040221
102427117472
11103605430a
12578a05a54
132c8ac18b0
141904bc05a
15e3130db7
hex90aadfa0

2427117472 has 96 divisors (see below), whose sum is σ = 5624930304. Its totient is φ = 1020211200.

The previous prime is 2427117443. The next prime is 2427117491. The reversal of 2427117472 is 2747117242.

It is a happy 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, 213697 + ... + 224767.

It is an arithmetic number, because the mean of its divisors is an integer number (58593024).

Almost surely, 22427117472 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 2427117472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812465152).

2427117472 is an abundant number, since it is smaller than the sum of its proper divisors (3197812832).

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

2427117472 is a wasteful number, since it uses less digits than its factorization.

2427117472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11134 counting only the distinct ones).

The product of its digits is 43904, while the sum is 37.

The square root of 2427117472 is about 49265.7839884843. The cubic root of 2427117472 is about 1343.8896179660.

The spelling of 2427117472 in words is "two billion, four hundred twenty-seven million, one hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 68 104 124 136 208 221 248 272 403 416 442 496 527 544 806 884 992 1054 1612 1768 2108 3224 3536 4216 6448 6851 7072 8432 11071 12896 13702 16864 22142 27404 44284 54808 88568 109616 143923 177136 188207 219232 287846 343201 354272 376414 575692 686402 752828 1151384 1372804 1505656 2302768 2446691 2745608 3011312 4461613 4605536 4893382 5491216 5834417 6022624 8923226 9786764 10982432 11668834 17846452 19573528 23337668 35692904 39147056 46675336 71385808 75847421 78294112 93350672 142771616 151694842 186701344 303389684 606779368 1213558736 2427117472