Search a number
-
+
49136280 = 23351923937
BaseRepresentation
bin1011101101110…
…0001010011000
310102110101022020
42323130022120
5100034330110
64513054440
71134436314
oct273341230
9112411266
1049136280
11258108a6
1214557420
13a24522b
146750b44
1544a8d70
hex2edc298

49136280 has 128 divisors (see below), whose sum is σ = 162086400. Its totient is φ = 11860992.

The previous prime is 49136279. The next prime is 49136309. The reversal of 49136280 is 8263194.

49136280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51972 + ... + 52908.

It is an arithmetic number, because the mean of its divisors is an integer number (1266300).

Almost surely, 249136280 is an apocalyptic number.

49136280 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 49136280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81043200).

49136280 is an abundant number, since it is smaller than the sum of its proper divisors (112950120).

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

49136280 is a wasteful number, since it uses less digits than its factorization.

49136280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 49136280 is about 7009.7275268016. The cubic root of 49136280 is about 366.2695020037.

The spelling of 49136280 in words is "forty-nine million, one hundred thirty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 937 1140 1311 1380 1748 1874 2185 2280 2622 2760 2811 3496 3748 4370 4685 5244 5622 6555 7496 8740 9370 10488 11244 13110 14055 17480 17803 18740 21551 22488 26220 28110 35606 37480 43102 52440 53409 56220 64653 71212 86204 89015 106818 107755 112440 129306 142424 172408 178030 213636 215510 258612 267045 323265 356060 409469 427272 431020 517224 534090 646530 712120 818938 862040 1068180 1228407 1293060 1637876 2047345 2136360 2456814 2586120 3275752 4094690 4913628 6142035 8189380 9827256 12284070 16378760 24568140 49136280