Search a number
-
+
49022560 = 2551767269
BaseRepresentation
bin1011101100000…
…0011001100000
310102020121022101
42323000121200
5100022210220
64510420144
71133453626
oct273003140
9112217271
1049022560
1125743414
1214501654
13a205542
146721516
15448530a
hex2ec0660

49022560 has 96 divisors (see below), whose sum is σ = 124921440. Its totient is φ = 18112512.

The previous prime is 49022549. The next prime is 49022587. The reversal of 49022560 is 6522094.

It is a super-2 number, since 2×490225602 = 4806422777907200, which contains 22 as substring.

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, 182106 + ... + 182374.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265).

Almost surely, 249022560 is an apocalyptic number.

49022560 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 49022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62460720).

49022560 is an abundant number, since it is smaller than the sum of its proper divisors (75898880).

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

49022560 is a wasteful number, since it uses less digits than its factorization.

49022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 49022560 is about 7001.6112431354. The cubic root of 49022560 is about 365.9867215265.

The spelling of 49022560 in words is "forty-nine million, twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 67 68 80 85 134 136 160 170 268 269 272 335 340 536 538 544 670 680 1072 1076 1139 1340 1345 1360 2144 2152 2278 2680 2690 2720 4304 4556 4573 5360 5380 5695 8608 9112 9146 10720 10760 11390 18023 18224 18292 21520 22780 22865 36046 36448 36584 43040 45560 45730 72092 73168 90115 91120 91460 144184 146336 180230 182240 182920 288368 306391 360460 365840 576736 612782 720920 731680 1225564 1441840 1531955 2451128 2883680 3063910 4902256 6127820 9804512 12255640 24511280 49022560