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248039280 = 24335114833
BaseRepresentation
bin11101100100011…
…00011101110000
3122021201200221000
432302030131300
51001444224110
640340202000
76101204406
oct1662143560
9567650830
10248039280
11118014645
126b099300
133c507108
1424d29476
1516b981c0
hexec8c770

248039280 has 80 divisors (see below), whose sum is σ = 854364960. Its totient is φ = 66143232.

The previous prime is 248039273. The next prime is 248039317. The reversal of 248039280 is 82930842.

248039280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 55257 + ... + 59576.

It is an arithmetic number, because the mean of its divisors is an integer number (10679562).

Almost surely, 2248039280 is an apocalyptic number.

248039280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248039280 is an abundant number, since it is smaller than the sum of its proper divisors (606325680).

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

248039280 is a wasteful number, since it uses less digits than its factorization.

248039280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114855 (or 114843 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248039280 is about 15749.2628398919. The cubic root of 248039280 is about 628.3092990046.

The spelling of 248039280 in words is "two hundred forty-eight million, thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 114833 229666 344499 459332 574165 688998 918664 1033497 1148330 1377996 1722495 1837328 2066994 2296660 2755992 3100491 3444990 4133988 4593320 5167485 5511984 6200982 6889980 8267976 9186640 10334970 12401964 13779960 15502455 16535952 20669940 24803928 27559920 31004910 41339880 49607856 62009820 82679760 124019640 248039280