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332282052 = 223237313797
BaseRepresentation
bin10011110011100…
…011100011000100
3212011020200021200
4103303203203010
51140031011202
652545542500
711143231224
oct2363434304
9764220250
10332282052
11160623473
1293344a30
1353ac16cb
14321b8084
151e288e1c
hex13ce38c4

332282052 has 72 divisors (see below), whose sum is σ = 866477976. Its totient is φ = 107288064.

The previous prime is 332282047. The next prime is 332282099. The reversal of 332282052 is 250282233.

332282052 is a `hidden beast` number, since 332 + 282 + 0 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 310323456 = 4686^2 + 17616^2 .

It is a super-2 number, since 2×3322820522 = 220822724162661408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416518 + ... + 417314.

Almost surely, 2332282052 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 332282052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433238988).

332282052 is an abundant number, since it is smaller than the sum of its proper divisors (534195924).

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

332282052 is a wasteful number, since it uses less digits than its factorization.

332282052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 332282052 is about 18228.6053224047. The cubic root of 332282052 is about 692.6315889425.

The spelling of 332282052 in words is "three hundred thirty-two million, two hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 313 333 444 626 666 797 939 1252 1332 1594 1878 2391 2817 3188 3756 4782 5634 7173 9564 11268 11581 14346 23162 28692 29489 34743 46324 58978 69486 88467 104229 117956 138972 176934 208458 249461 265401 353868 416916 498922 530802 748383 997844 1061604 1496766 2245149 2993532 4490298 8980596 9230057 18460114 27690171 36920228 55380342 83070513 110760684 166141026 332282052