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53959950 = 23252112991
BaseRepresentation
bin1100110111010…
…1110100001110
310202112110010200
43031311310032
5102303204300
65204314330
71223436432
oct315656416
9122473120
1053959950
1128505a00
12160a29a6
13b243985
1472489c2
154b0d200
hex3375d0e

53959950 has 108 divisors (see below), whose sum is σ = 159510624. Its totient is φ = 13068000.

The previous prime is 53959931. The next prime is 53959963. The reversal of 53959950 is 5995935.

53959950 is a `hidden beast` number, since 5 + 3 + 9 + 599 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 53959896 and 53959905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 53955 + ... + 54945.

Almost surely, 253959950 is an apocalyptic number.

53959950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53959950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79755312).

53959950 is an abundant number, since it is smaller than the sum of its proper divisors (105550674).

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

53959950 is a wasteful number, since it uses less digits than its factorization.

53959950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 273375, while the sum is 45.

The square root of 53959950 is about 7345.7436655522. The cubic root of 53959950 is about 377.8828477129.

The spelling of 53959950 in words is "fifty-three million, nine hundred fifty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 242 275 330 363 450 495 550 605 726 825 990 991 1089 1210 1650 1815 1982 2178 2475 2973 3025 3630 4950 4955 5445 5946 6050 8919 9075 9910 10890 10901 14865 17838 18150 21802 24775 27225 29730 32703 44595 49550 54450 54505 65406 74325 89190 98109 109010 119911 148650 163515 196218 222975 239822 272525 327030 359733 445950 490545 545050 599555 719466 817575 981090 1079199 1199110 1635150 1798665 2158398 2452725 2997775 3597330 4905450 5395995 5995550 8993325 10791990 17986650 26979975 53959950