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49653952 = 2641127149
BaseRepresentation
bin1011110101101…
…0100011000000
310110102200102021
42331122203000
5100202411302
64532131224
71142023465
oct275324300
9113380367
1049653952
1126034827
1214766b14
13a396a4a
14684766c
15455c437
hex2f5a8c0

49653952 has 56 divisors (see below), whose sum is σ = 102412800. Its totient is φ = 23869440.

The previous prime is 49653937. The next prime is 49653959. The reversal of 49653952 is 25935694.

It is a junction number, because it is equal to n+sod(n) for n = 49653899 and 49653908.

It is not an unprimeable number, because it can be changed into a prime (49653959) 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, 333174 + ... + 333322.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 249653952 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 49653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

49653952 is an abundant number, since it is smaller than the sum of its proper divisors (52758848).

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

49653952 is a wasteful number, since it uses less digits than its factorization.

49653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The square root of 49653952 is about 7046.5560382360. The cubic root of 49653952 is about 367.5512804249.

It can be divided in two parts, 49653 and 952, that added together give a palindrome (50605).

The spelling of 49653952 in words is "forty-nine million, six hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 127 149 164 254 298 328 508 596 656 1016 1192 1312 2032 2384 2624 4064 4768 5207 6109 8128 9536 10414 12218 18923 20828 24436 37846 41656 48872 75692 83312 97744 151384 166624 195488 302768 333248 390976 605536 775843 1211072 1551686 3103372 6206744 12413488 24826976 49653952