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853196442 = 237171637331
BaseRepresentation
bin110010110110101…
…011111010011010
32012110102212111020
4302312223322122
53221404241232
6220354543310
730100023120
oct6266537232
92173385436
10853196442
113a867512a
121b9897b36
131079ba187
1481455910
154ed83e2c
hex32dabe9a

853196442 has 64 divisors (see below), whose sum is σ = 2077830144. Its totient is φ = 227992320.

The previous prime is 853196441. The next prime is 853196471. The reversal of 853196442 is 244691358.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 853196394 and 853196403.

It is not an unprimeable number, because it can be changed into a prime (853196441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112717 + ... + 120047.

It is an arithmetic number, because the mean of its divisors is an integer number (32466096).

Almost surely, 2853196442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853196442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038915072).

853196442 is an abundant number, since it is smaller than the sum of its proper divisors (1224633702).

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

853196442 is a wasteful number, since it uses less digits than its factorization.

853196442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523.

The product of its digits is 207360, while the sum is 42.

The square root of 853196442 is about 29209.5265624077. The cubic root of 853196442 is about 948.4541589155.

The spelling of 853196442 in words is "eight hundred fifty-three million, one hundred ninety-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 163 238 326 357 489 714 978 1141 2282 2771 3423 5542 6846 7331 8313 14662 16626 19397 21993 38794 43986 51317 58191 102634 116382 124627 153951 249254 307902 373881 747762 872389 1194953 1744778 2389906 2617167 3584859 5234334 7169718 8364671 16729342 20314201 25094013 40628402 50188026 60942603 121885206 142199407 284398814 426598221 853196442