Search a number
-
+
358925028 = 2237112316889
BaseRepresentation
bin10101011001001…
…100001011100100
3221000101021120120
4111121030023210
51213341100103
655341001540
711615545440
oct2531141344
9830337516
10358925028
11174670760
12a02532b0
135948c697
1435951820
152179d253
hex1564c2e4

358925028 has 96 divisors (see below), whose sum is σ = 1089607680. Its totient is φ = 89168640.

The previous prime is 358925023. The next prime is 358925053. The reversal of 358925028 is 820529853.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (358925023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12808 + ... + 29696.

It is an arithmetic number, because the mean of its divisors is an integer number (11350080).

Almost surely, 2358925028 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 358925028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544803840).

358925028 is an abundant number, since it is smaller than the sum of its proper divisors (730682652).

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

358925028 is a wasteful number, since it uses less digits than its factorization.

358925028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937 (or 16935 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 358925028 is about 18945.3167827830. The cubic root of 358925028 is about 710.6698881582.

The spelling of 358925028 in words is "three hundred fifty-eight million, nine hundred twenty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 5313 7084 10626 16889 21252 33778 50667 67556 101334 118223 185779 202668 236446 354669 371558 388447 472892 557337 709338 743116 776894 1114674 1165341 1300453 1418676 1553788 2229348 2330682 2600906 2719129 3901359 4272917 4661364 5201812 5438258 7802718 8157387 8545834 10876516 12818751 15605436 16314774 17091668 25637502 29910419 32629548 51275004 59820838 89731257 119641676 179462514 358925028