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248950416 = 243111336269
BaseRepresentation
bin11101101011010…
…10111010010000
3122100102222202210
432311222322100
51002212403131
640411512120
76112020651
oct1665527220
9570388683
10248950416
11118587150
126b458640
133c765a50
14250c5528
1516cc8146
hexed6ae90

248950416 has 80 divisors (see below), whose sum is σ = 755576640. Its totient is φ = 69634560.

The previous prime is 248950411. The next prime is 248950417. The reversal of 248950416 is 614059842.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (248950411) 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, 11271 + ... + 24998.

It is an arithmetic number, because the mean of its divisors is an integer number (9444708).

Almost surely, 2248950416 is an apocalyptic number.

248950416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

248950416 is an abundant number, since it is smaller than the sum of its proper divisors (506626224).

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

248950416 is a wasteful number, since it uses less digits than its factorization.

248950416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36304 (or 36298 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 248950416 is about 15778.1626306741. The cubic root of 248950416 is about 629.0776930005.

The spelling of 248950416 in words is "two hundred forty-eight million, nine hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 36269 72538 108807 145076 217614 290152 398959 435228 471497 580304 797918 870456 942994 1196877 1414491 1595836 1740912 1885988 2393754 2828982 3191672 3771976 4787508 5186467 5657964 6383344 7543952 9575016 10372934 11315928 15559401 19150032 20745868 22631856 31118802 41491736 62237604 82983472 124475208 248950416