Search a number
-
+
5852815136 = 25771379971
BaseRepresentation
bin1010111001101101…
…01101111100100000
3120002220002210222222
411130312231330200
543441310041021
62404434050212
7265016051660
oct53466557440
916086083888
105852815136
112533841703
121174119968
1372374432c
143d74581a0
15243c626ab
hex15cdadf20

5852815136 has 96 divisors (see below), whose sum is σ = 13403335680. Its totient is φ = 2463955200.

The previous prime is 5852815121. The next prime is 5852815139. The reversal of 5852815136 is 6315182585.

It is not an unprimeable number, because it can be changed into a prime (5852815139) 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, 6027131 + ... + 6028101.

It is an arithmetic number, because the mean of its divisors is an integer number (139618080).

Almost surely, 25852815136 is an apocalyptic number.

5852815136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5852815136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701667840).

5852815136 is an abundant number, since it is smaller than the sum of its proper divisors (7550520544).

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

5852815136 is a wasteful number, since it uses less digits than its factorization.

5852815136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its digits is 288000, while the sum is 44.

The square root of 5852815136 is about 76503.6936101781. The cubic root of 5852815136 is about 1802.1389322065.

The spelling of 5852815136 in words is "five billion, eight hundred fifty-two million, eight hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 379 497 568 758 971 994 1136 1516 1942 1988 2272 2653 3032 3884 3976 5306 6064 6797 7768 7952 10612 12128 13594 15536 15904 21224 26909 27188 31072 42448 53818 54376 68941 84896 107636 108752 137882 188363 215272 217504 275764 368009 376726 430544 482587 551528 736018 753452 861088 965174 1103056 1472036 1506904 1930348 2206112 2576063 2944072 3013808 3860696 5152126 5888144 6027616 7721392 10304252 11776288 15442784 20608504 26128639 41217008 52257278 82434016 104514556 182900473 209029112 365800946 418058224 731601892 836116448 1463203784 2926407568 5852815136