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58249968 = 2437533271
BaseRepresentation
bin1101111000110…
…1001011110000
311001121101221020
43132031023300
5104402444333
65440255440
71305054660
oct336151360
9131541836
1058249968
112a976077
1217611580
13c0b654a
147a441a0
1551a93b3
hex378d2f0

58249968 has 80 divisors (see below), whose sum is σ = 175274496. Its totient is φ = 16323840.

The previous prime is 58249949. The next prime is 58249969. The reversal of 58249968 is 86994285.

It is a self number, because there is not a number n which added to its sum of digits gives 58249968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58249969) 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, 16173 + ... + 19443.

Almost surely, 258249968 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 58249968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87637248).

58249968 is an abundant number, since it is smaller than the sum of its proper divisors (117024528).

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

58249968 is a wasteful number, since it uses less digits than its factorization.

58249968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3336 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 58249968 is about 7632.1666648469. The cubic root of 58249968 is about 387.6429563419.

The spelling of 58249968 in words is "fifty-eight million, two hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 3271 4452 5936 6542 8904 9813 13084 17808 19626 22897 26168 39252 45794 52336 68691 78504 91588 137382 157008 173363 183176 274764 346726 366352 520089 549528 693452 1040178 1099056 1213541 1386904 2080356 2427082 2773808 3640623 4160712 4854164 7281246 8321424 9708328 14562492 19416656 29124984 58249968