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842098536 = 2332172572677
BaseRepresentation
bin110010001100010…
…110011101101000
32011200120001000200
4302030112131220
53211034123121
6215321032200
726603501526
oct6214263550
92150501020
10842098536
113a2385104
121b6025660
13105602976
147dba7316
154dde0a26
hex32316768

842098536 has 96 divisors (see below), whose sum is σ = 2425143240. Its totient is φ = 263061504.

The previous prime is 842098531. The next prime is 842098547. The reversal of 842098536 is 635890248.

842098536 is a `hidden beast` number, since 8 + 4 + 20 + 98 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 794901636 + 47196900 = 28194^2 + 6870^2 .

It is a junction number, because it is equal to n+sod(n) for n = 842098491 and 842098500.

It is not an unprimeable number, because it can be changed into a prime (842098531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313230 + ... + 315906.

Almost surely, 2842098536 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 842098536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212571620).

842098536 is an abundant number, since it is smaller than the sum of its proper divisors (1583044704).

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

842098536 is a wasteful number, since it uses less digits than its factorization.

842098536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 842098536 is about 29018.9340948285. The cubic root of 842098536 is about 944.3238768269.

The spelling of 842098536 in words is "eight hundred forty-two million, ninety-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 257 306 408 514 612 771 1028 1224 1542 2056 2313 2677 3084 4369 4626 5354 6168 8031 8738 9252 10708 13107 16062 17476 18504 21416 24093 26214 32124 34952 39321 45509 48186 52428 64248 78642 91018 96372 104856 136527 157284 182036 192744 273054 314568 364072 409581 546108 687989 819162 1092216 1375978 1638324 2063967 2751956 3276648 4127934 5503912 6191901 8255868 11695813 12383802 16511736 23391626 24767604 35087439 46783252 49535208 70174878 93566504 105262317 140349756 210524634 280699512 421049268 842098536