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248308816 = 2475359709
BaseRepresentation
bin11101100110011…
…10010001010000
3122022020101122211
432303032101100
51002031340231
640350041504
76103406260
oct1663162120
9568211584
10248308816
111181890a8
126b1a9294
133c59c9c2
1424d997a0
1516beceb1
hexecce450

248308816 has 80 divisors (see below), whose sum is σ = 570499200. Its totient is φ = 102495744.

The previous prime is 248308787. The next prime is 248308829. The reversal of 248308816 is 618803842.

It is a congruent number.

It is an unprimeable number.

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, 349870 + ... + 350578.

It is an arithmetic number, because the mean of its divisors is an integer number (7131240).

Almost surely, 2248308816 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 248308816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285249600).

248308816 is an abundant number, since it is smaller than the sum of its proper divisors (322190384).

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

248308816 is a wasteful number, since it uses less digits than its factorization.

248308816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 248308816 is about 15757.8176153933. The cubic root of 248308816 is about 628.5368041927.

The spelling of 248308816 in words is "two hundred forty-eight million, three hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 53 56 59 106 112 118 212 236 371 413 424 472 709 742 826 848 944 1418 1484 1652 2836 2968 3127 3304 4963 5672 5936 6254 6608 9926 11344 12508 19852 21889 25016 37577 39704 41831 43778 50032 75154 79408 83662 87556 150308 167324 175112 263039 292817 300616 334648 350224 526078 585634 601232 669296 1052156 1171268 2104312 2217043 2342536 4208624 4434086 4685072 8868172 15519301 17736344 31038602 35472688 62077204 124154408 248308816