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248053428 = 2235736457
BaseRepresentation
bin11101100100011…
…11111010110100
3122021202102100000
432302033322310
51002000202203
640340351300
76101263560
oct1662177264
9567672300
10248053428
11118024237
126b0a5530
133c51069c
1424d306a0
1516b9c4a3
hexec8feb4

248053428 has 72 divisors (see below), whose sum is σ = 743159872. Its totient is φ = 70870464.

The previous prime is 248053373. The next prime is 248053469. The reversal of 248053428 is 824350842.

248053428 is a `hidden beast` number, since 24 + 80 + 534 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248053392 and 248053401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11425 + ... + 25032.

Almost surely, 2248053428 is an apocalyptic number.

248053428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248053428 is an abundant number, since it is smaller than the sum of its proper divisors (495106444).

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

248053428 is a wasteful number, since it uses less digits than its factorization.

248053428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36483 (or 36469 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 248053428 is about 15749.7119973668. The cubic root of 248053428 is about 628.3212448961.

The spelling of 248053428 in words is "two hundred forty-eight million, fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 36457 72914 109371 145828 218742 255199 328113 437484 510398 656226 765597 984339 1020796 1312452 1531194 1968678 2296791 2953017 3062388 3937356 4593582 5906034 6890373 8859051 9187164 11812068 13780746 17718102 20671119 27561492 35436204 41342238 62013357 82684476 124026714 248053428