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172320048 = 2435234147
BaseRepresentation
bin10100100010101…
…10010100110000
3110000020202200000
422101112110300
5323103220143
625033230000
74161460545
oct1221262460
9400222600
10172320048
11892a766a
1249862300
1329915334
1418c58bcc
15101dcbd3
hexa456530

172320048 has 240 divisors, whose sum is σ = 545965056. Its totient is φ = 52462080.

The previous prime is 172320019. The next prime is 172320073. The reversal of 172320048 is 840023271.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3666361 + ... + 3666407.

Almost surely, 2172320048 is an apocalyptic number.

172320048 is a gapful number since it is divisible by the number (18) 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 172320048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

172320048 is an abundant number, since it is smaller than the sum of its proper divisors (373645008).

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

172320048 is a wasteful number, since it uses less digits than its factorization.

172320048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 172320048 is about 13127.0730934203. The cubic root of 172320048 is about 556.4745013418.

The spelling of 172320048 in words is "one hundred seventy-two million, three hundred twenty thousand, forty-eight".