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838073052 = 2232192591093
BaseRepresentation
bin110001111100111…
…111101011011100
32011101222112002200
4301330333223130
53204021314202
6215054451500
726524334445
oct6174775334
92141875080
10838073052
113a0085763
121b4803b90
1310482361b
147d43a2cc
154d897e1c
hex31f3fadc

838073052 has 108 divisors (see below), whose sum is σ = 2275804440. Its totient is φ = 259930944.

The previous prime is 838073029. The next prime is 838073099. The reversal of 838073052 is 250370838.

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 = 838072998 and 838073016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 766218 + ... + 767310.

Almost surely, 2838073052 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 838073052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137902220).

838073052 is an abundant number, since it is smaller than the sum of its proper divisors (1437731388).

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

838073052 is a wasteful number, since it uses less digits than its factorization.

838073052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 838073052 is about 28949.4913944960. The cubic root of 838073052 is about 942.8167554916.

The spelling of 838073052 in words is "eight hundred thirty-eight million, seventy-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 76 114 118 171 177 228 236 342 354 361 531 684 708 722 1062 1083 1093 1121 1444 2124 2166 2186 2242 3249 3279 3363 4332 4372 4484 6498 6558 6726 9837 10089 12996 13116 13452 19674 20178 20767 21299 39348 40356 41534 42598 62301 63897 64487 83068 85196 124602 127794 128974 186903 191691 193461 249204 255588 257948 373806 383382 386922 394573 580383 747612 766764 773844 789146 1160766 1183719 1225253 1578292 2321532 2367438 2450506 3551157 3675759 4734876 4901012 7102314 7351518 11027277 14204628 14703036 22054554 23279807 44109108 46559614 69839421 93119228 139678842 209518263 279357684 419036526 838073052