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248452080 = 24356715451
BaseRepresentation
bin11101100111100…
…01001111110000
3122022111200011220
432303301033300
51002100431310
640353105040
76104544042
oct1663611760
9568450156
10248452080
111182767a8
126b258180
133c61cc86
1424dd5a92
1516c2a670
hexecf13f0

248452080 has 80 divisors (see below), whose sum is σ = 781747584. Its totient is φ = 65260800.

The previous prime is 248452063. The next prime is 248452091. The reversal of 248452080 is 80254842.

It is a happy number.

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

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, 8355 + ... + 23805.

Almost surely, 2248452080 is an apocalyptic number.

248452080 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 248452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390873792).

248452080 is an abundant number, since it is smaller than the sum of its proper divisors (533295504).

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

248452080 is a wasteful number, since it uses less digits than its factorization.

248452080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15534 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 248452080 is about 15762.3627670473. The cubic root of 248452080 is about 628.6576609361.

The spelling of 248452080 in words is "two hundred forty-eight million, four hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 15451 16080 30902 46353 61804 77255 92706 123608 154510 185412 231765 247216 309020 370824 463530 618040 741648 927060 1035217 1236080 1854120 2070434 3105651 3708240 4140868 5176085 6211302 8281736 10352170 12422604 15528255 16563472 20704340 24845208 31056510 41408680 49690416 62113020 82817360 124226040 248452080