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50966640 = 2432571997
BaseRepresentation
bin1100001001101…
…1000001110000
310112220101002100
43002123001300
5101021413030
65020220400
71156131534
oct302330160
9115811070
1050966640
1126850a9a
121509a700
13a73639a
146aa9bc4
15471b360
hex309b070

50966640 has 120 divisors (see below), whose sum is σ = 173747808. Its totient is φ = 13386240.

The previous prime is 50966639. The next prime is 50966693. The reversal of 50966640 is 4666905.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 50966595 and 50966604.

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, 50622 + ... + 51618.

Almost surely, 250966640 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 50966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873904).

50966640 is an abundant number, since it is smaller than the sum of its proper divisors (122781168).

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

50966640 is a wasteful number, since it uses less digits than its factorization.

50966640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 50966640 is about 7139.0923792874. The cubic root of 50966640 is about 370.7621009781.

The spelling of 50966640 in words is "fifty million, nine hundred sixty-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 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 997 1065 1136 1278 1420 1704 1994 2130 2556 2840 2991 3195 3408 3988 4260 4985 5112 5680 5982 6390 7976 8520 8973 9970 10224 11964 12780 14955 15952 17040 17946 19940 23928 25560 29910 35892 39880 44865 47856 51120 59820 70787 71784 79760 89730 119640 141574 143568 179460 212361 239280 283148 353935 358920 424722 566296 637083 707870 717840 849444 1061805 1132592 1274166 1415740 1698888 2123610 2548332 2831480 3185415 3397776 4247220 5096664 5662960 6370830 8494440 10193328 12741660 16988880 25483320 50966640