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2058363328 = 26719793061
BaseRepresentation
bin111101010110000…
…0010000111000000
312022110011200122211
41322230002013000
513203420111303
6540125511504
7102002541160
oct17254020700
95273150584
102058363328
1196698a91a
12495412594
1326a5a0388
1415752c5a0
15c0a9066d
hex7ab021c0

2058363328 has 112 divisors (see below), whose sum is σ = 4977587200. Its totient is φ = 824878080.

The previous prime is 2058363323. The next prime is 2058363337. The reversal of 2058363328 is 8233638502.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058363323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670918 + ... + 673978.

Almost surely, 22058363328 is an apocalyptic number.

2058363328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488793600).

2058363328 is an abundant number, since it is smaller than the sum of its proper divisors (2919223872).

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

2058363328 is a wasteful number, since it uses less digits than its factorization.

2058363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 2058363328 is about 45369.1891926669. The cubic root of 2058363328 is about 1272.0592644091.

The spelling of 2058363328 in words is "two billion, fifty-eight million, three hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 79 112 133 152 158 224 266 304 316 448 532 553 608 632 1064 1106 1216 1264 1501 2128 2212 2528 3002 3061 4256 4424 5056 6004 6122 8512 8848 10507 12008 12244 17696 21014 21427 24016 24488 35392 42028 42854 48032 48976 58159 84056 85708 96064 97952 116318 168112 171416 195904 232636 241819 336224 342832 407113 465272 483638 672448 685664 814226 930544 967276 1371328 1628452 1692733 1861088 1934552 3256904 3385466 3722176 3869104 4594561 6513808 6770932 7738208 9189122 13027616 13541864 15476416 18378244 26055232 27083728 32161927 36756488 54167456 64323854 73512976 108334912 128647708 147025952 257295416 294051904 514590832 1029181664 2058363328