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854998040 = 235132791601
BaseRepresentation
bin110010111101100…
…011110000011000
32012120211101211002
4302331203300120
53222334414130
6220501324132
730121235441
oct6275436030
92176741732
10854998040
113a9695756
121ba406648
1310819b200
14817a42c8
15500dcb45
hex32f63c18

854998040 has 96 divisors (see below), whose sum is σ = 2110795200. Its totient is φ = 311500800.

The previous prime is 854998037. The next prime is 854998057. The reversal of 854998040 is 40899458.

854998040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533240 + ... + 534840.

It is an arithmetic number, because the mean of its divisors is an integer number (21987450).

Almost surely, 2854998040 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 854998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055397600).

854998040 is an abundant number, since it is smaller than the sum of its proper divisors (1255797160).

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

854998040 is a wasteful number, since it uses less digits than its factorization.

854998040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 854998040 is about 29240.3495191148. The cubic root of 854998040 is about 949.1212705474.

It can be divided in two parts, 85499 and 8040, that added together give a palindrome (93539).

The spelling of 854998040 in words is "eight hundred fifty-four million, nine hundred ninety-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 169 260 316 338 395 520 632 676 790 845 1027 1352 1580 1601 1690 2054 3160 3202 3380 4108 5135 6404 6760 8005 8216 10270 12808 13351 16010 20540 20813 26702 32020 41080 41626 53404 64040 66755 83252 104065 106808 126479 133510 166504 208130 252958 267020 270569 416260 505916 534040 541138 632395 832520 1011832 1082276 1264790 1352845 1644227 2164552 2529580 2705690 3288454 5059160 5411380 6576908 8221135 10822760 13153816 16442270 21374951 32884540 42749902 65769080 85499804 106874755 170999608 213749510 427499020 854998040