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84818052 = 2232111911273
BaseRepresentation
bin1010000111000…
…11100010000100
312220121012111100
411003203202010
5133203134202
612225540100
72046640644
oct503434204
9186535440
1084818052
1143972070
12244a4630
13147593c7
14b39c524
1576a641c
hex50e3884

84818052 has 72 divisors (see below), whose sum is σ = 246224160. Its totient is φ = 24347520.

The previous prime is 84818051. The next prime is 84818057. The reversal of 84818052 is 25081848.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84817998 and 84818016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84818051) 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, 1888 + ... + 13160.

It is an arithmetic number, because the mean of its divisors is an integer number (3419780).

Almost surely, 284818052 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 84818052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123112080).

84818052 is an abundant number, since it is smaller than the sum of its proper divisors (161406108).

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

84818052 is a wasteful number, since it uses less digits than its factorization.

84818052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11313 (or 11308 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 84818052 is about 9209.6716553849. The cubic root of 84818052 is about 439.3690198204.

The spelling of 84818052 in words is "eighty-four million, eight hundred eighteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 11273 22546 33819 45092 67638 101457 124003 135276 202914 214187 248006 372009 405828 428374 496012 642561 744018 856748 1116027 1285122 1488036 1927683 2232054 2356057 2570244 3855366 4464108 4712114 7068171 7710732 9424228 14136342 21204513 28272684 42409026 84818052