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5502265248 = 253971793301
BaseRepresentation
bin1010001111111010…
…11110011110100000
3112012110111000221210
411013331132132200
542232034441443
62305552350120
7253231324434
oct50775363640
915173430853
105502265248
112373981357
121096845340
13698c27a6c
143a2a869c4
152230bac33
hex147f5e7a0

5502265248 has 96 divisors (see below), whose sum is σ = 14678314560. Its totient is φ = 1804492800.

The previous prime is 5502265243. The next prime is 5502265259. The reversal of 5502265248 is 8425622055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5502265243) 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 15 ways as a sum of consecutive naturals, for example, 1665198 + ... + 1668498.

It is an arithmetic number, because the mean of its divisors is an integer number (152899110).

Almost surely, 25502265248 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 5502265248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339157280).

5502265248 is an abundant number, since it is smaller than the sum of its proper divisors (9176049312).

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

5502265248 is a wasteful number, since it uses less digits than its factorization.

5502265248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 5502265248 is about 74177.2555976561. The cubic root of 5502265248 is about 1765.4164712040.

The spelling of 5502265248 in words is "five billion, five hundred two million, two hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 179 194 291 358 388 537 582 716 776 1074 1164 1432 1552 2148 2328 2864 3104 3301 4296 4656 5728 6602 8592 9312 9903 13204 17184 17363 19806 26408 34726 39612 52089 52816 69452 79224 104178 105632 138904 158448 208356 277808 316896 320197 416712 555616 590879 640394 833424 960591 1181758 1280788 1666848 1772637 1921182 2363516 2561576 3545274 3842364 4727032 5123152 7090548 7684728 9454064 10246304 14181096 15369456 18908128 28362192 30738912 56724384 57315263 114630526 171945789 229261052 343891578 458522104 687783156 917044208 1375566312 1834088416 2751132624 5502265248