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52871616 = 263473147
BaseRepresentation
bin1100100110110…
…0000111000000
310200111011020000
43021230013000
5102013342431
65125120000
71211254440
oct311540700
9120434200
1052871616
1127932256
1215859000
13ac524a5
147044120
1549959e6
hex326c1c0

52871616 has 280 divisors, whose sum is σ = 188829696. Its totient is φ = 14307840.

The previous prime is 52871597. The next prime is 52871627. The reversal of 52871616 is 61617825.

52871616 is a `hidden beast` number, since 528 + 71 + 61 + 6 = 666.

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

Its product of digits (20160) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124905 + ... + 1124951.

Almost surely, 252871616 is an apocalyptic number.

52871616 is a gapful number since it is divisible by the number (56) 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 52871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94414848).

52871616 is an abundant number, since it is smaller than the sum of its proper divisors (135958080).

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

52871616 is a wasteful number, since it uses less digits than its factorization.

52871616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 52871616 is about 7271.2870937682. The cubic root of 52871616 is about 375.3250301996.

It can be divided in two parts, 5287 and 1616, that added together give a triangular number (6903 = T117).

The spelling of 52871616 in words is "fifty-two million, eight hundred seventy-one thousand, six hundred sixteen".