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147047472 = 2432111337193
BaseRepresentation
bin10001100001111…
…00010000110000
3101020200210012200
420300330100300
5300121004342
622331423200
73433611555
oct1060742060
9336623180
10147047472
1176005a40
12412b4b00
1324607050
141575aa2c
15cd9994c
hex8c3c430

147047472 has 240 divisors, whose sum is σ = 499113888. Its totient is φ = 39813120.

The previous prime is 147047471. The next prime is 147047489. The reversal of 147047472 is 274740741.

147047472 is a `hidden beast` number, since 147 + 0 + 47 + 472 = 666.

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 (147047471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761808 + ... + 762000.

Almost surely, 2147047472 is an apocalyptic number.

147047472 is a gapful number since it is divisible by the number (12) 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 147047472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249556944).

147047472 is an abundant number, since it is smaller than the sum of its proper divisors (352066416).

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

147047472 is a wasteful number, since it uses less digits than its factorization.

147047472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 147047472 is about 12126.3132072366. The cubic root of 147047472 is about 527.8200144107.

The spelling of 147047472 in words is "one hundred forty-seven million, forty-seven thousand, four hundred seventy-two".