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52429680 = 243652931
BaseRepresentation
bin1100100000000…
…0001101110000
310122122201000000
43020000031300
5101410222210
65111430000
71204434132
oct310001560
9118581000
1052429680
1127660216
1215685300
13ab292a4
146d6b052
154909ac0
hex3200370

52429680 has 280 divisors, whose sum is σ = 195166080. Its totient is φ = 13063680.

The previous prime is 52429661. The next prime is 52429687. The reversal of 52429680 is 8692425.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52429687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1691265 + ... + 1691295.

Almost surely, 252429680 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 52429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97583040).

52429680 is an abundant number, since it is smaller than the sum of its proper divisors (142736400).

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

52429680 is a wasteful number, since it uses less digits than its factorization.

52429680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52429680 is about 7240.8342060843. The cubic root of 52429680 is about 374.2763645027.

The spelling of 52429680 in words is "fifty-two million, four hundred twenty-nine thousand, six hundred eighty".