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248392890 = 232519145259
BaseRepresentation
bin11101100111000…
…10110010111010
3122022101122222200
432303202302322
51002042033030
640351531030
76104206344
oct1663426272
9568348880
10248392890
11118236289
126b229a76
133c5cc055
1424dbc294
1516c17d60
hexece2cba

248392890 has 48 divisors (see below), whose sum is σ = 679816800. Its totient is φ = 62751456.

The previous prime is 248392873. The next prime is 248392913. The reversal of 248392890 is 98293842.

248392890 is a `hidden beast` number, since 2 + 483 + 92 + 89 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70920 + ... + 74339.

It is an arithmetic number, because the mean of its divisors is an integer number (14162850).

Almost surely, 2248392890 is an apocalyptic number.

248392890 is an abundant number, since it is smaller than the sum of its proper divisors (431423910).

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

248392890 is a wasteful number, since it uses less digits than its factorization.

248392890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145291 (or 145288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 248392890 is about 15760.4850813673. The cubic root of 248392890 is about 628.6077342027.

The spelling of 248392890 in words is "two hundred forty-eight million, three hundred ninety-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 145259 290518 435777 726295 871554 1307331 1452590 2178885 2614662 2759921 4357770 5519842 6536655 8279763 13073310 13799605 16559526 24839289 27599210 41398815 49678578 82797630 124196445 248392890