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248059248 = 24337197709
BaseRepresentation
bin11101100100100…
…01010101110000
3122021202201022120
432302101111300
51002000343443
640340434240
76101316543
oct1662212560
9567681276
10248059248
11118028648
126b0a8980
133c513228
1424d3285a
1516b9e083
hexec91570

248059248 has 80 divisors (see below), whose sum is σ = 662412960. Its totient is φ = 79930368.

The previous prime is 248059247. The next prime is 248059249. The reversal of 248059248 is 842950842.

It is an interprime number because it is at equal distance from previous prime (248059247) and next prime (248059249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248059247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349518 + ... + 350226.

It is an arithmetic number, because the mean of its divisors is an integer number (8280162).

Almost surely, 2248059248 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 248059248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331206480).

248059248 is an abundant number, since it is smaller than the sum of its proper divisors (414353712).

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

248059248 is a wasteful number, since it uses less digits than its factorization.

248059248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 248059248 is about 15749.8967615664. The cubic root of 248059248 is about 628.3261588926.

The spelling of 248059248 in words is "two hundred forty-eight million, fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 197 222 296 394 444 591 592 709 788 888 1182 1418 1576 1776 2127 2364 2836 3152 4254 4728 5672 7289 8508 9456 11344 14578 17016 21867 26233 29156 34032 43734 52466 58312 78699 87468 104932 116624 139673 157398 174936 209864 279346 314796 349872 419019 419728 558692 629592 838038 1117384 1259184 1676076 2234768 3352152 5167901 6704304 10335802 15503703 20671604 31007406 41343208 62014812 82686416 124029624 248059248