Search a number
-
+
50101920 = 25325113163
BaseRepresentation
bin1011111100011…
…1111010100000
310111021102220200
42333013322200
5100311230140
64545505200
71145600511
oct277077240
9114242820
1050101920
1126310350
1214942200
13a4c290b
146922a08
1545ea030
hex2fc7ea0

50101920 has 144 divisors (see below), whose sum is σ = 186574752. Its totient is φ = 12142080.

The previous prime is 50101903. The next prime is 50101939. The reversal of 50101920 is 2910105.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 50101893 and 50101902.

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, 14259 + ... + 17421.

It is an arithmetic number, because the mean of its divisors is an integer number (1295658).

Almost surely, 250101920 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 50101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93287376).

50101920 is an abundant number, since it is smaller than the sum of its proper divisors (136472832).

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

50101920 is a wasteful number, since it uses less digits than its factorization.

50101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 50101920 is about 7078.2709753159. The cubic root of 50101920 is about 368.6532976341.

The spelling of 50101920 in words is "fifty million, one hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3163 3168 3960 5280 6326 7920 9489 12652 15815 15840 18978 25304 28467 31630 34793 37956 47445 50608 56934 63260 69586 75912 94890 101216 104379 113868 126520 139172 142335 151824 173965 189780 208758 227736 253040 278344 284670 303648 313137 347930 379560 417516 455472 506080 521895 556688 569340 626274 695860 759120 835032 910944 1043790 1113376 1138680 1252548 1391720 1518240 1565685 1670064 2087580 2277360 2505096 2783440 3131370 3340128 4175160 4554720 5010192 5566880 6262740 8350320 10020384 12525480 16700640 25050960 50101920