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58397472 = 2532783349
BaseRepresentation
bin1101111011000…
…1001100100000
311001212220021100
43132301030200
5104422204342
65443354400
71306241010
oct336611440
9131786240
1058397472
112aa66981
1217682a00
13c138723
147a81c40
1551d7e4c
hex37b1320

58397472 has 144 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 16436736.

The previous prime is 58397461. The next prime is 58397473. The reversal of 58397472 is 27479385.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (58397473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167154 + ... + 167502.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 258397472 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 58397472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

58397472 is an abundant number, since it is smaller than the sum of its proper divisors (134231328).

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

58397472 is a wasteful number, since it uses less digits than its factorization.

58397472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 58397472 is about 7641.8238660676. The cubic root of 58397472 is about 387.9698846502.

The spelling of 58397472 in words is "fifty-eight million, three hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 332 336 349 498 504 581 664 672 698 747 996 1008 1047 1162 1328 1396 1494 1743 1992 2016 2094 2324 2443 2656 2792 2988 3141 3486 3984 4188 4648 4886 5229 5584 5976 6282 6972 7329 7968 8376 9296 9772 10458 11168 11952 12564 13944 14658 16752 18592 19544 20916 21987 23904 25128 27888 28967 29316 33504 39088 41832 43974 50256 55776 57934 58632 78176 83664 86901 87948 100512 115868 117264 167328 173802 175896 202769 231736 234528 260703 347604 351792 405538 463472 521406 608307 695208 703584 811076 926944 1042812 1216614 1390416 1622152 1824921 2085624 2433228 2780832 3244304 3649842 4171248 4866456 6488608 7299684 8342496 9732912 14599368 19465824 29198736 58397472