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5655445248 = 28312375953
BaseRepresentation
bin1010100010001011…
…10011111100000000
3112121010201101102010
411101011303330000
543040243221443
62333103452520
7260101330365
oct52105637400
915533641363
105655445248
1124423957a2
121119bb7140
136c189b20b
143b915c46c
15231777733
hex151173f00

5655445248 has 72 divisors (see below), whose sum is σ = 15066430288. Its totient is φ = 1883308032.

The previous prime is 5655445163. The next prime is 5655445253. The reversal of 5655445248 is 8425445565.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5655445197 and 5655445206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947040 + ... + 952992.

Almost surely, 25655445248 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 5655445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533215144).

5655445248 is an abundant number, since it is smaller than the sum of its proper divisors (9410985040).

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

5655445248 is a wasteful number, since it uses less digits than its factorization.

5655445248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7209 (or 7195 counting only the distinct ones).

The product of its digits is 3840000, while the sum is 48.

The square root of 5655445248 is about 75202.6944198145. The cubic root of 5655445248 is about 1781.6494881098.

The spelling of 5655445248 in words is "five billion, six hundred fifty-five million, four hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1237 2474 3711 4948 5953 7422 9896 11906 14844 17859 19792 23812 29688 35718 39584 47624 59376 71436 79168 95248 118752 142872 158336 190496 237504 285744 316672 380992 475008 571488 761984 950016 1142976 1523968 2285952 4571904 7363861 14727722 22091583 29455444 44183166 58910888 88366332 117821776 176732664 235643552 353465328 471287104 706930656 942574208 1413861312 1885148416 2827722624 5655445248