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52476480 = 26325719137
BaseRepresentation
bin1100100000101…
…1101001000000
310122202002012100
43020023221000
5101413221410
65112430400
71205020440
oct310135100
9118662170
1052476480
11276923a1
12156a8400
13ab44694
146d80120
1549188c0
hex320ba40

52476480 has 336 divisors, whose sum is σ = 218724480. Its totient is φ = 11280384.

The previous prime is 52476449. The next prime is 52476503. The reversal of 52476480 is 8467425.

52476480 is a `hidden beast` number, since 5 + 2 + 4 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382972 + ... + 383108.

Almost surely, 252476480 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 52476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109362240).

52476480 is an abundant number, since it is smaller than the sum of its proper divisors (166248000).

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

52476480 is a wasteful number, since it uses less digits than its factorization.

52476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 52476480 is about 7244.0651570786. The cubic root of 52476480 is about 374.3876940948.

The spelling of 52476480 in words is "fifty-two million, four hundred seventy-six thousand, four hundred eighty".