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49568040 = 23325157877
BaseRepresentation
bin1011110100010…
…1100100101000
310110021022120100
42331011210220
5100142134130
64530225400
71141215144
oct275054450
9113238510
1049568040
1125a86225
1214725260
13a366902
146824224
154541c60
hex2f45928

49568040 has 96 divisors (see below), whose sum is σ = 162307080. Its totient is φ = 13118976.

The previous prime is 49568021. The next prime is 49568053. The reversal of 49568040 is 4086594.

It can be written as a sum of positive squares in 4 ways, for example, as 42693156 + 6874884 = 6534^2 + 2622^2 .

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 = 49567986 and 49568004.

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, 56082 + ... + 56958.

Almost surely, 249568040 is an apocalyptic number.

49568040 is a gapful number since it is divisible by the number (40) 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 49568040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81153540).

49568040 is an abundant number, since it is smaller than the sum of its proper divisors (112739040).

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

49568040 is a wasteful number, since it uses less digits than its factorization.

49568040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49568040 is about 7040.4573715065. The cubic root of 49568040 is about 367.3391771678.

It can be divided in two parts, 4956 and 8040, that added together give a square (12996 = 1142).

The spelling of 49568040 in words is "forty-nine million, five hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 877 942 1256 1413 1570 1754 1884 2355 2631 2826 3140 3508 3768 4385 4710 5262 5652 6280 7016 7065 7893 8770 9420 10524 11304 13155 14130 15786 17540 18840 21048 26310 28260 31572 35080 39465 52620 56520 63144 78930 105240 137689 157860 275378 315720 413067 550756 688445 826134 1101512 1239201 1376890 1652268 2065335 2478402 2753780 3304536 4130670 4956804 5507560 6196005 8261340 9913608 12392010 16522680 24784020 49568040