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48392892 = 22323747773
BaseRepresentation
bin1011100010011…
…0101010111100
310101001121120100
42320212222330
544342033032
64445121100
71125222102
oct270465274
9111047510
1048392892
1125353329
1214259190
13a044a62
1465d9c72
1543ad97c
hex2e26abc

48392892 has 72 divisors (see below), whose sum is σ = 128471616. Its totient is φ = 15341184.

The previous prime is 48392873. The next prime is 48392893. The reversal of 48392892 is 29829384.

48392892 is a `hidden beast` number, since 483 + 92 + 89 + 2 = 666.

It is a super-2 number, since 2×483928922 = 4683743992247328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48392893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62218 + ... + 62990.

It is an arithmetic number, because the mean of its divisors is an integer number (1784328).

Almost surely, 248392892 is an apocalyptic number.

It is a pronic number, being equal to 6956×6957.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48392892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64235808).

48392892 is an abundant number, since it is smaller than the sum of its proper divisors (80078724).

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

48392892 is a wasteful number, since it uses less digits than its factorization.

48392892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 862 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48392892 is about 6956.4999820312. The cubic root of 48392892 is about 364.4129978017.

It can be divided in two parts, 48392 and 892, that added together give a square (49284 = 2222).

The spelling of 48392892 in words is "forty-eight million, three hundred ninety-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 333 423 444 564 666 773 846 1332 1546 1692 1739 2319 3092 3478 4638 5217 6956 6957 9276 10434 13914 15651 20868 27828 28601 31302 36331 57202 62604 72662 85803 108993 114404 145324 171606 217986 257409 326979 343212 435972 514818 653958 1029636 1307916 1344247 2688494 4032741 5376988 8065482 12098223 16130964 24196446 48392892