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52631040 = 293571189
BaseRepresentation
bin1100100011000…
…1011000000000
310200000221012210
43020301120000
5101433143130
65120022120
71206233160
oct310613000
9120027183
1052631040
1127788530
1215761940
13ab99b37
146dc05a0
1549495b0
hex3231600

52631040 has 320 divisors, whose sum is σ = 212129280. Its totient is φ = 10813440.

The previous prime is 52631021. The next prime is 52631041. The reversal of 52631040 is 4013625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 52630998 and 52631016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52631041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591316 + ... + 591404.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 252631040 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 52631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

52631040 is an abundant number, since it is smaller than the sum of its proper divisors (159498240).

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

52631040 is a wasteful number, since it uses less digits than its factorization.

52631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 52631040 is about 7254.7253566210. The cubic root of 52631040 is about 374.7548976122.

Adding to 52631040 its reverse (4013625), we get a palindrome (56644665).

The spelling of 52631040 in words is "fifty-two million, six hundred thirty-one thousand, forty".