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248065272 = 233271337861
BaseRepresentation
bin11101100100100…
…10110011111000
3122021210000120200
432302102303320
51002001042042
640340522200
76101343240
oct1662226370
9567700520
10248065272
11118032124
126b0b0360
133c515bb0
1424d34b20
1516ba0c4c
hexec92cf8

248065272 has 96 divisors (see below), whose sum is σ = 826906080. Its totient is φ = 65422080.

The previous prime is 248065253. The next prime is 248065283. The reversal of 248065272 is 272560842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12379 + ... + 25482.

It is an arithmetic number, because the mean of its divisors is an integer number (8613605).

Almost surely, 2248065272 is an apocalyptic number.

It is an amenable number.

248065272 is an abundant number, since it is smaller than the sum of its proper divisors (578840808).

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

248065272 is a wasteful number, since it uses less digits than its factorization.

248065272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37893 (or 37886 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 248065272 is about 15750.0879997542. The cubic root of 248065272 is about 628.3312450513.

The spelling of 248065272 in words is "two hundred forty-eight million, sixty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 37861 75722 113583 151444 227166 265027 302888 340749 454332 492193 530054 681498 795081 908664 984386 1060108 1362996 1476579 1590162 1968772 2120216 2385243 2725992 2953158 3180324 3445351 3937544 4429737 4770486 5906316 6360648 6890702 8859474 9540972 10336053 11812632 13781404 17718948 19081944 20672106 27562808 31008159 35437896 41344212 62016318 82688424 124032636 248065272