Search a number
-
+
5254851060 = 22325127457503
BaseRepresentation
bin1001110010011011…
…01010100111110100
3111120012221002111100
410321031222213310
541230220213220
62225233410100
7244135332324
oct47115524764
914505832440
105254851060
112257254418
121027a09930
136598ac334
1437bc81284
1520b4e7d90
hex13936a9f4

5254851060 has 144 divisors (see below), whose sum is σ = 16132386816. Its totient is φ = 1384459776.

The previous prime is 5254851047. The next prime is 5254851083. The reversal of 5254851060 is 601584525.

5254851060 is a `hidden beast` number, since 5 + 2 + 548 + 5 + 106 + 0 = 666.

It is a super-3 number, since 3×52548510603 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10446769 + ... + 10447271.

It is an arithmetic number, because the mean of its divisors is an integer number (112030464).

Almost surely, 25254851060 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 5254851060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066193408).

5254851060 is an abundant number, since it is smaller than the sum of its proper divisors (10877535756).

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

5254851060 is a wasteful number, since it uses less digits than its factorization.

5254851060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5254851060 is about 72490.3514959060. The cubic root of 5254851060 is about 1738.5484723732.

The spelling of 5254851060 in words is "five billion, two hundred fifty-four million, eight hundred fifty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 457 503 508 635 762 914 1006 1143 1270 1371 1509 1524 1828 1905 2012 2285 2286 2515 2540 2742 3018 3810 4113 4527 4570 4572 5030 5484 5715 6036 6855 7545 7620 8226 9054 9140 10060 11430 13710 15090 16452 18108 20565 22635 22860 27420 30180 41130 45270 58039 63881 82260 90540 116078 127762 174117 191643 229871 232156 255524 290195 319405 348234 383286 459742 522351 574929 580390 638810 689613 696468 766572 870585 919484 958215 1044702 1149355 1149858 1160780 1277620 1379226 1741170 1916430 2068839 2089404 2298710 2299716 2611755 2758452 2874645 3448065 3482340 3832860 4137678 4597420 5223510 5749290 6896130 8275356 10344195 10447020 11498580 13792260 20688390 29193617 41376780 58387234 87580851 116774468 145968085 175161702 262742553 291936170 350323404 437904255 525485106 583872340 875808510 1050970212 1313712765 1751617020 2627425530 5254851060