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52141104 = 2433137881
BaseRepresentation
bin1100011011100…
…1110000110000
310122010001011000
43012321300300
5101322003404
65101322000
71202122611
oct306716060
9118101130
1052141104
1127483424
1215566300
13aa57b32
146cd3c08
15489e339
hex31b9c30

52141104 has 80 divisors (see below), whose sum is σ = 150927840. Its totient is φ = 17233920.

The previous prime is 52141099. The next prime is 52141109. The reversal of 52141104 is 40114125.

52141104 is a `hidden beast` number, since 521 + 41 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (52141099) and next prime (52141109).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52141109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58744 + ... + 59624.

It is an arithmetic number, because the mean of its divisors is an integer number (1886598).

Almost surely, 252141104 is an apocalyptic number.

52141104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75463920).

52141104 is an abundant number, since it is smaller than the sum of its proper divisors (98786736).

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

52141104 is a wasteful number, since it uses less digits than its factorization.

52141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52141104 is about 7220.8797247981. The cubic root of 52141104 is about 373.5884211877.

Adding to 52141104 its reverse (40114125), we get a palindrome (92255229).

The spelling of 52141104 in words is "fifty-two million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 881 1096 1233 1644 1762 2192 2466 2643 3288 3524 3699 4932 5286 6576 7048 7398 7929 9864 10572 14096 14796 15858 19728 21144 23787 29592 31716 42288 47574 59184 63432 95148 120697 126864 190296 241394 362091 380592 482788 724182 965576 1086273 1448364 1931152 2172546 2896728 3258819 4345092 5793456 6517638 8690184 13035276 17380368 26070552 52141104