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258883072 = 297217607
BaseRepresentation
bin11110110111000…
…11111000000000
3200001010121210221
433123203320000
51012233224242
641404432424
76262320100
oct1733437000
9601117727
10258883072
11123150758
1272848714
1341832a66
142654d200
1517adb167
hexf6e3e00

258883072 has 120 divisors (see below), whose sum is σ = 638155584. Its totient is φ = 104251392.

The previous prime is 258883057. The next prime is 258883169. The reversal of 258883072 is 270388852.

258883072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426193 + ... + 426799.

Almost surely, 2258883072 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 258883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319077792).

258883072 is an abundant number, since it is smaller than the sum of its proper divisors (379272512).

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

258883072 is an equidigital number, since it uses as much as digits as its factorization.

258883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 258883072 is about 16089.8437531258. The cubic root of 258883072 is about 637.3351695860.

The spelling of 258883072 in words is "two hundred fifty-eight million, eight hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 607 784 833 896 952 1088 1214 1568 1666 1792 1904 2176 2428 3136 3332 3584 3808 4249 4352 4856 6272 6664 7616 8498 8704 9712 10319 12544 13328 15232 16996 19424 20638 25088 26656 29743 30464 33992 38848 41276 53312 59486 60928 67984 72233 77696 82552 106624 118972 135968 144466 155392 165104 213248 237944 271936 288932 310784 330208 426496 475888 505631 543872 577864 660416 951776 1011262 1087744 1155728 1320832 1903552 2022524 2175488 2311456 2641664 3807104 4045048 4622912 5283328 7614208 8090096 9245824 15228416 16180192 18491648 32360384 36983296 64720768 129441536 258883072