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842146840 = 23523239799
BaseRepresentation
bin110010001100100…
…010010000011000
32011200122111021201
4302030202100120
53211042144330
6215322043544
726604062413
oct6214422030
92150574251
10842146840
113a2408427
121b60495b4
1310561b952
147dbbab7a
154ddeeeca
hex32322418

842146840 has 48 divisors (see below), whose sum is σ = 1980846000. Its totient is φ = 322204608.

The previous prime is 842146819. The next prime is 842146859. The reversal of 842146840 is 48641248.

It is a super-2 number, since 2×8421468402 = 1418422600243971200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 842146840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1261 + ... + 41059.

It is an arithmetic number, because the mean of its divisors is an integer number (41267625).

Almost surely, 2842146840 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 842146840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990423000).

842146840 is an abundant number, since it is smaller than the sum of its proper divisors (1138699160).

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

842146840 is a wasteful number, since it uses less digits than its factorization.

842146840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39856 (or 39829 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 842146840 is about 29019.7663670816. The cubic root of 842146840 is about 944.3419324132.

The spelling of 842146840 in words is "eight hundred forty-two million, one hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 21160 39799 79598 159196 198995 318392 397990 795980 915377 1591960 1830754 3661508 4576885 7323016 9153770 18307540 21053671 36615080 42107342 84214684 105268355 168429368 210536710 421073420 842146840