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49621248 = 28342393
BaseRepresentation
bin1011110101001…
…0100100000000
310110101000120000
42331102210000
5100200334443
64531320000
71141526235
oct275224400
9113330500
1049621248
11260121a6
1214750000
13a384bb1
14683978c
1545528d3
hex2f52900

49621248 has 90 divisors (see below), whose sum is σ = 148023414. Its totient is φ = 16533504.

The previous prime is 49621219. The next prime is 49621267. The reversal of 49621248 is 84212694.

49621248 is a `hidden beast` number, since 4 + 9 + 621 + 24 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 21233664 = 5328^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19540 + ... + 21932.

Almost surely, 249621248 is an apocalyptic number.

49621248 is a gapful number since it is divisible by the number (48) 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 49621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74011707).

49621248 is an abundant number, since it is smaller than the sum of its proper divisors (98402166).

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

49621248 is an equidigital number, since it uses as much as digits as its factorization.

49621248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2398 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 49621248 is about 7044.2350897738. The cubic root of 49621248 is about 367.4705682386.

The spelling of 49621248 in words is "forty-nine million, six hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2393 2592 3456 4786 5184 6912 7179 9572 10368 14358 19144 20736 21537 28716 38288 43074 57432 64611 76576 86148 114864 129222 153152 172296 193833 229728 258444 306304 344592 387666 459456 516888 612608 689184 775332 918912 1033776 1378368 1550664 1837824 2067552 2756736 3101328 4135104 5513472 6202656 8270208 12405312 16540416 24810624 49621248