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857910042 = 23511383419
BaseRepresentation
bin110011001000101…
…010101100011010
32012210022100100000
4303020222230122
53224111110132
6221043553430
730155054313
oct6310525432
92183270300
10857910042
114002a4570
121bb38b876
1310897a7a2
1481d2160a
15504b587c
hex3322ab1a

857910042 has 96 divisors (see below), whose sum is σ = 2113413120. Its totient is φ = 258675120.

The previous prime is 857910041. The next prime is 857910047. The reversal of 857910042 is 240019758.

It is a junction number, because it is equal to n+sod(n) for n = 857909979 and 857910006.

It is not an unprimeable number, because it can be changed into a prime (857910041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2047309 + ... + 2047727.

It is an arithmetic number, because the mean of its divisors is an integer number (22014720).

Almost surely, 2857910042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857910042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

857910042 is an abundant number, since it is smaller than the sum of its proper divisors (1255503078).

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

857910042 is a wasteful number, since it uses less digits than its factorization.

857910042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 857910042 is about 29290.1014337609. The cubic root of 857910042 is about 950.1975736811.

The spelling of 857910042 in words is "eight hundred fifty-seven million, nine hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 383 419 486 594 766 838 891 1149 1257 1782 2298 2514 2673 3447 3771 4213 4609 5346 6894 7542 8426 9218 10341 11313 12639 13827 20682 22626 25278 27654 31023 33939 37917 41481 62046 67878 75834 82962 93069 101817 113751 124443 160477 186138 203634 227502 248886 320954 341253 373329 481431 682506 746658 962862 1023759 1119987 1444293 1765247 2047518 2239974 2888586 3530494 4332879 5295741 8665758 10591482 12998637 15887223 25997274 31774446 38995911 47661669 77991822 95323338 142985007 285970014 428955021 857910042