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260542048 = 2513761823
BaseRepresentation
bin11111000011110…
…00111001100000
3200011020220111111
433201320321200
51013144321143
641504153104
76312366544
oct1741707140
9604226444
10260542048
11124084108
1273308794
1341c93bc0
1426861a24
1517d1799d
hexf878e60

260542048 has 48 divisors (see below), whose sum is σ = 553797216. Its totient is φ = 119946240.

The previous prime is 260542039. The next prime is 260542057. The reversal of 260542048 is 840245062.

260542048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260542039) and next prime (260542057).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316165 + ... + 316987.

It is an arithmetic number, because the mean of its divisors is an integer number (11537442).

Almost surely, 2260542048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260542048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276898608).

260542048 is an abundant number, since it is smaller than the sum of its proper divisors (293255168).

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

260542048 is a wasteful number, since it uses less digits than its factorization.

260542048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 260542048 is about 16141.3149402395. The cubic root of 260542048 is about 638.6936635095.

The spelling of 260542048 in words is "two hundred sixty million, five hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 761 823 1522 1646 3044 3292 6088 6584 9893 10699 12176 13168 19786 21398 24352 26336 39572 42796 79144 85592 158288 171184 316576 342368 626303 1252606 2505212 5010424 8141939 10020848 16283878 20041696 32567756 65135512 130271024 260542048