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248929080 = 233510719387
BaseRepresentation
bin11101101011001…
…01101100111000
3122100101220111120
432311211230320
51002211212310
640411225240
76111601521
oct1665455470
9570356446
10248929080
11118572114
126b448220
133c75911a
14250bb848
1516cc1b70
hexed65b38

248929080 has 64 divisors (see below), whose sum is σ = 753805440. Its totient is φ = 65757312.

The previous prime is 248929073. The next prime is 248929099. The reversal of 248929080 is 80929842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3147 + ... + 22533.

It is an arithmetic number, because the mean of its divisors is an integer number (11778210).

Almost surely, 2248929080 is an apocalyptic number.

248929080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248929080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376902720).

248929080 is an abundant number, since it is smaller than the sum of its proper divisors (504876360).

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

248929080 is a wasteful number, since it uses less digits than its factorization.

248929080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19508 (or 19504 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 248929080 is about 15777.4864918339. The cubic root of 248929080 is about 629.0597210346.

The spelling of 248929080 in words is "two hundred forty-eight million, nine hundred twenty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 19387 38774 58161 77548 96935 116322 155096 193870 232644 290805 387740 465288 581610 775480 1163220 2074409 2326440 4148818 6223227 8297636 10372045 12446454 16595272 20744090 24892908 31116135 41488180 49785816 62232270 82976360 124464540 248929080