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258212052 = 2232719199271
BaseRepresentation
bin11110110010000…
…00000011010100
3122222212112100100
433121000003110
51012100241202
641342214100
76253523550
oct1731000324
9588775310
10258212052
1112283259a
1272584330
13416594c7
1426416860
1517a0741c
hexf6400d4

258212052 has 144 divisors (see below), whose sum is σ = 792064000. Its totient is φ = 69284160.

The previous prime is 258212047. The next prime is 258212057. The reversal of 258212052 is 250212852.

It is an interprime number because it is at equal distance from previous prime (258212047) and next prime (258212057).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258212057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952677 + ... + 952947.

Almost surely, 2258212052 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 258212052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396032000).

258212052 is an abundant number, since it is smaller than the sum of its proper divisors (533851948).

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

258212052 is a wasteful number, since it uses less digits than its factorization.

258212052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 258212052 is about 16068.9779388734. The cubic root of 258212052 is about 636.7840395916.

The spelling of 258212052 in words is "two hundred fifty-eight million, two hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 199 228 252 266 271 342 398 399 532 542 597 684 796 798 813 1084 1194 1197 1393 1596 1626 1791 1897 2388 2394 2439 2786 3252 3582 3781 3794 4179 4788 4878 5149 5572 5691 7164 7562 7588 8358 9756 10298 11343 11382 12537 15124 15447 16716 17073 20596 22686 22764 25074 26467 30894 34029 34146 36043 45372 46341 50148 52934 53929 61788 68058 68292 72086 79401 92682 105868 107858 108129 136116 144172 158802 161787 185364 215716 216258 238203 317604 323574 324387 377503 432516 476406 485361 647148 648774 755006 952812 970722 1024651 1132509 1297548 1510012 1941444 2049302 2265018 3073953 3397527 4098604 4530036 6147906 6795054 7172557 9221859 12295812 13590108 14345114 18443718 21517671 28690228 36887436 43035342 64553013 86070684 129106026 258212052