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248025420 = 223253144449
BaseRepresentation
bin11101100100010…
…01000101001100
3122021200222220200
432302021011030
51001443303140
640340013500
76101116116
oct1662110514
9567628820
10248025420
11118005195
126b091290
133c500a06
1424d243b6
1516b94030
hexec8914c

248025420 has 72 divisors (see below), whose sum is σ = 776630400. Its totient is φ = 64005120.

The previous prime is 248025383. The next prime is 248025517. The reversal of 248025420 is 24520842.

It is a happy number.

248025420 is a modest number, since divided by 25420 gives 2480 as remainder.

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, 16645 + ... + 27804.

Almost surely, 2248025420 is an apocalyptic number.

248025420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248025420 is an abundant number, since it is smaller than the sum of its proper divisors (528604980).

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

248025420 is a wasteful number, since it uses less digits than its factorization.

248025420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44495 (or 44490 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 248025420 is about 15748.8228131502. The cubic root of 248025420 is about 628.2975958460.

The spelling of 248025420 in words is "two hundred forty-eight million, twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 44449 88898 133347 177796 222245 266694 400041 444490 533388 666735 800082 888980 1333470 1377919 1600164 2000205 2666940 2755838 4000410 4133757 5511676 6889595 8000820 8267514 12401271 13779190 16535028 20668785 24802542 27558380 41337570 49605084 62006355 82675140 124012710 248025420