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50199840 = 2532571491
BaseRepresentation
bin1011111101111…
…1110100100000
310111110102020100
42333133310200
5100322343330
64551542400
71146456135
oct277376440
9114412210
1050199840
1126377979
121498aa00
13a528362
14694a58c
154619060
hex2fdfd20

50199840 has 144 divisors (see below), whose sum is σ = 174073536. Its totient is φ = 13171200.

The previous prime is 50199833. The next prime is 50199859. The reversal of 50199840 is 4899105.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 50199795 and 50199804.

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, 101995 + ... + 102485.

It is an arithmetic number, because the mean of its divisors is an integer number (1208844).

Almost surely, 250199840 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 50199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87036768).

50199840 is an abundant number, since it is smaller than the sum of its proper divisors (123873696).

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

50199840 is a wasteful number, since it uses less digits than its factorization.

50199840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 50199840 is about 7085.1845424096. The cubic root of 50199840 is about 368.8933086571.

The spelling of 50199840 in words is "fifty million, one hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 71 72 80 90 96 120 142 144 160 180 213 240 284 288 355 360 426 480 491 568 639 710 720 852 982 1065 1136 1278 1420 1440 1473 1704 1964 2130 2272 2455 2556 2840 2946 3195 3408 3928 4260 4419 4910 5112 5680 5892 6390 6816 7365 7856 8520 8838 9820 10224 11360 11784 12780 14730 15712 17040 17676 19640 20448 22095 23568 25560 29460 34080 34861 35352 39280 44190 47136 51120 58920 69722 70704 78560 88380 102240 104583 117840 139444 141408 174305 176760 209166 235680 278888 313749 348610 353520 418332 522915 557776 627498 697220 707040 836664 1045830 1115552 1254996 1394440 1568745 1673328 2091660 2509992 2788880 3137490 3346656 4183320 5019984 5577760 6274980 8366640 10039968 12549960 16733280 25099920 50199840