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538921152 = 263271129419
BaseRepresentation
bin100000000111110…
…100100011000000
31101120002000211200
4200013310203000
52100430434102
6125250541200
716232516460
oct4007644300
91346060750
10538921152
11257230490
12130597800
1387861873
1451807ba0
15324a551c
hex201f48c0

538921152 has 336 divisors, whose sum is σ = 1997049600. Its totient is φ = 134830080.

The previous prime is 538921121. The next prime is 538921177. The reversal of 538921152 is 251129835.

538921152 is a `hidden beast` number, since 538 + 9 + 2 + 115 + 2 = 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, 1285999 + ... + 1286417.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2538921152 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 538921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998524800).

538921152 is an abundant number, since it is smaller than the sum of its proper divisors (1458128448).

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

538921152 is a wasteful number, since it uses less digits than its factorization.

538921152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 538921152 is about 23214.6753584882. The cubic root of 538921152 is about 813.7826189789.

The spelling of 538921152 in words is "five hundred thirty-eight million, nine hundred twenty-one thousand, one hundred fifty-two".