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50749920 = 25325132711
BaseRepresentation
bin1100000110011…
…0000111100000
310112111100210200
43001212013200
5100442444140
65011425200
71154236644
oct301460740
9115440720
1050749920
1126713191
1214bb5200
13a68b850
146a50c24
1546c7030
hex30661e0

50749920 has 144 divisors (see below), whose sum is σ = 186574752. Its totient is φ = 12487680.

The previous prime is 50749889. The next prime is 50749921. The reversal of 50749920 is 2994705.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50749921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17365 + ... + 20075.

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

Almost surely, 250749920 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 50749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93287376).

50749920 is an abundant number, since it is smaller than the sum of its proper divisors (135824832).

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

50749920 is a wasteful number, since it uses less digits than its factorization.

50749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 50749920 is about 7123.8978094860. The cubic root of 50749920 is about 370.2358369849.

The spelling of 50749920 in words is "fifty million, seven hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 2711 3120 3744 4680 5422 6240 8133 9360 10844 13555 16266 18720 21688 24399 27110 32532 35243 40665 43376 48798 54220 65064 70486 81330 86752 97596 105729 108440 121995 130128 140972 162660 176215 195192 211458 216880 243990 260256 281944 317187 325320 352430 390384 422916 433760 487980 528645 563888 634374 650640 704860 780768 845832 975960 1057290 1127776 1268748 1301280 1409720 1585935 1691664 1951920 2114580 2537496 2819440 3171870 3383328 3903840 4229160 5074992 5638880 6343740 8458320 10149984 12687480 16916640 25374960 50749920