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258502428 = 22352331373
BaseRepresentation
bin11110110100001…
…10111100011100
3200000102021200000
433122012330130
51012134034203
641352334300
76256143252
oct1732067434
9600367600
10258502428
11122a10778
12726a4390
134172b722
14264905d2
1517a634a3
hexf686f1c

258502428 has 144 divisors (see below), whose sum is σ = 731867136. Its totient is φ = 79548480.

The previous prime is 258502427. The next prime is 258502441. The reversal of 258502428 is 824205852.

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 = 258502392 and 258502401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258502427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692850 + ... + 693222.

Almost surely, 2258502428 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 258502428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365933568).

258502428 is an abundant number, since it is smaller than the sum of its proper divisors (473364708).

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

258502428 is a wasteful number, since it uses less digits than its factorization.

258502428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 258502428 is about 16078.0106978444. The cubic root of 258502428 is about 637.0226516560.

The spelling of 258502428 in words is "two hundred fifty-eight million, five hundred two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 162 186 207 243 276 279 324 372 373 414 486 558 621 713 746 828 837 972 1116 1119 1242 1426 1492 1674 1863 2139 2238 2484 2511 2852 3348 3357 3726 4278 4476 5022 5589 6417 6714 7452 7533 8556 8579 10044 10071 11178 11563 12834 13428 15066 17158 19251 20142 22356 23126 25668 25737 30132 30213 34316 34689 38502 40284 46252 51474 57753 60426 69378 77004 77211 90639 102948 104067 115506 120852 138756 154422 173259 181278 208134 231012 231633 265949 308844 312201 346518 362556 416268 463266 531898 624402 693036 694899 797847 926532 936603 1063796 1248804 1389798 1595694 1873206 2084697 2393541 2779596 2809809 3191388 3746412 4169394 4787082 5619618 7180623 8338788 9574164 11239236 14361246 21541869 28722492 43083738 64625607 86167476 129251214 258502428