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818890842 = 2372111913327
BaseRepresentation
bin110000110011110…
…100100001011010
32010001212222001110
4300303310201122
53134114001332
6213131401150
726202312600
oct6063644132
92101788043
10818890842
113902738a0
121aa2b31b6
131008684c3
147aa85870
154bd594cc
hex30cf485a

818890842 has 96 divisors (see below), whose sum is σ = 2187924480. Its totient is φ = 201489120.

The previous prime is 818890841. The next prime is 818890903. The reversal of 818890842 is 248098818.

It is a super-2 number, since 2×8188908422 = 1341164422222937928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 818890791 and 818890800.

It is not an unprimeable number, because it can be changed into a prime (818890841) 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, 54783 + ... + 68109.

It is an arithmetic number, because the mean of its divisors is an integer number (22790880).

Almost surely, 2818890842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818890842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093962240).

818890842 is an abundant number, since it is smaller than the sum of its proper divisors (1369033638).

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

818890842 is a wasteful number, since it uses less digits than its factorization.

818890842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13376 (or 13369 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 818890842 is about 28616.2688343536. The cubic root of 818890842 is about 935.5679552362.

The spelling of 818890842 in words is "eight hundred eighteen million, eight hundred ninety thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 399 418 462 539 627 798 931 1078 1254 1463 1617 1862 2793 2926 3234 4389 5586 8778 10241 13327 20482 26654 30723 39981 61446 79962 93289 146597 186578 253213 279867 293194 439791 506426 559734 653023 759639 879582 1026179 1306046 1519278 1772491 1959069 2052358 2785343 3078537 3544982 3918138 5317473 5570686 6157074 7183253 8356029 10634946 12407437 14366506 16712058 19497401 21549759 24814874 37222311 38994802 43099518 58492203 74444622 116984406 136481807 272963614 409445421 818890842