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49886640 = 24325193359
BaseRepresentation
bin1011111001001…
…1010110110000
310110212111121100
42332103112300
5100232333030
64541124400
71144013046
oct276232660
9113774540
1049886640
1126183631
1214859700
13a44892b
1468a8396
1545a6360
hex2f935b0

49886640 has 120 divisors (see below), whose sum is σ = 168873120. Its totient is φ = 13197312.

The previous prime is 49886611. The next prime is 49886651. The reversal of 49886640 is 4668894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 138781 + ... + 139139.

It is an arithmetic number, because the mean of its divisors is an integer number (1407276).

Almost surely, 249886640 is an apocalyptic number.

49886640 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 49886640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84436560).

49886640 is an abundant number, since it is smaller than the sum of its proper divisors (118986480).

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

49886640 is a wasteful number, since it uses less digits than its factorization.

49886640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 49886640 is about 7063.0475009021. The cubic root of 49886640 is about 368.1245246510.

It can be divided in two parts, 4988 and 6640, that added together give a triangular number (11628 = T152).

The spelling of 49886640 in words is "forty-nine million, eight hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 193 240 359 360 386 579 718 720 772 965 1077 1158 1436 1544 1737 1795 1930 2154 2316 2872 2895 3088 3231 3474 3590 3860 4308 4632 5385 5744 5790 6462 6948 7180 7720 8616 8685 9264 10770 11580 12924 13896 14360 15440 16155 17232 17370 21540 23160 25848 27792 28720 32310 34740 43080 46320 51696 64620 69287 69480 86160 129240 138574 138960 207861 258480 277148 346435 415722 554296 623583 692870 831444 1039305 1108592 1247166 1385740 1662888 2078610 2494332 2771480 3117915 3325776 4157220 4988664 5542960 6235830 8314440 9977328 12471660 16628880 24943320 49886640