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49977248 = 2559103257
BaseRepresentation
bin1011111010100…
…1011110100000
310111001002220012
42332221132200
5100243232443
64543104052
71144541156
oct276513640
9114032805
1049977248
1126235712
12148a2028
13a47ac49
1468cd3d6
1545c3118
hex2fa97a0

49977248 has 48 divisors (see below), whose sum is σ = 101424960. Its totient is φ = 24231936.

The previous prime is 49977247. The next prime is 49977253. The reversal of 49977248 is 84277994.

It is a junction number, because it is equal to n+sod(n) for n = 49977196 and 49977205.

It is not an unprimeable number, because it can be changed into a prime (49977247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194336 + ... + 194592.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 249977248 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 49977248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50712480).

49977248 is an abundant number, since it is smaller than the sum of its proper divisors (51447712).

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

49977248 is a wasteful number, since it uses less digits than its factorization.

49977248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The square root of 49977248 is about 7069.4588194571. The cubic root of 49977248 is about 368.3472619963.

The spelling of 49977248 in words is "forty-nine million, nine hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 59 103 118 206 236 257 412 472 514 824 944 1028 1648 1888 2056 3296 4112 6077 8224 12154 15163 24308 26471 30326 48616 52942 60652 97232 105884 121304 194464 211768 242608 423536 485216 847072 1561789 3123578 6247156 12494312 24988624 49977248