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50841840 = 2435753571
BaseRepresentation
bin1100000111110…
…0100011110000
310112200000220010
43001330203300
5101003414330
65013414520
71155101640
oct301744360
9115600803
1050841840
1126776255
121503a440
13a6c163a
146a76520
1546e43b0
hex307c8f0

50841840 has 160 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 11381760.

The previous prime is 50841839. The next prime is 50841841. The reversal of 50841840 is 4814805.

It is an interprime number because it is at equal distance from previous prime (50841839) and next prime (50841841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 50841798 and 50841807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50841841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88755 + ... + 89325.

Almost surely, 250841840 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 50841840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

50841840 is an abundant number, since it is smaller than the sum of its proper divisors (133003536).

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

50841840 is a wasteful number, since it uses less digits than its factorization.

50841840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 50841840 is about 7130.3464151470. The cubic root of 50841840 is about 370.4592301259.

It can be divided in two parts, 50841 and 840, that added together give a triangular number (51681 = T321).

The spelling of 50841840 in words is "fifty million, eight hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 571 636 742 795 840 848 1060 1113 1142 1272 1484 1590 1680 1713 1855 2120 2226 2284 2544 2855 2968 3180 3426 3710 3997 4240 4452 4568 5565 5710 5936 6360 6852 7420 7994 8565 8904 9136 11130 11420 11991 12720 13704 14840 15988 17130 17808 19985 22260 22840 23982 27408 29680 30263 31976 34260 39970 44520 45680 47964 59955 60526 63952 68520 79940 89040 90789 95928 119910 121052 137040 151315 159880 181578 191856 211841 239820 242104 302630 319760 363156 423682 453945 479640 484208 605260 635523 726312 847364 907890 959280 1059205 1210520 1271046 1452624 1694728 1815780 2118410 2421040 2542092 3177615 3389456 3631560 4236820 5084184 6355230 7263120 8473640 10168368 12710460 16947280 25420920 50841840