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48987136 = 210114349
BaseRepresentation
bin1011101011011…
…1110000000000
310102011210201101
42322313300000
5100020042021
64505544144
71133245432
oct272676000
9112153641
1048987136
1125719840
12144a5054
13a1c2393
146712652
154479a91
hex2eb7c00

48987136 has 44 divisors (see below), whose sum is σ = 106853400. Its totient is φ = 22261760.

The previous prime is 48987131. The next prime is 48987151. The reversal of 48987136 is 63178984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48987131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9090 + ... + 13438.

Almost surely, 248987136 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 48987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53426700).

48987136 is an abundant number, since it is smaller than the sum of its proper divisors (57866264).

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

48987136 is a wasteful number, since it uses less digits than its factorization.

48987136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4362 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 48987136 is about 6999.0810825422. The cubic root of 48987136 is about 365.8985455406.

The spelling of 48987136 in words is "forty-eight million, nine hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 4349 5632 8698 11264 17396 34792 47839 69584 95678 139168 191356 278336 382712 556672 765424 1113344 1530848 2226688 3061696 4453376 6123392 12246784 24493568 48987136