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49468752 = 2433307373
BaseRepresentation
bin1011110010110…
…1010101010000
310110002021101000
42330231111100
5100131000002
64524142000
71140322524
oct274552520
9113067330
1049468752
1125a18673
1214697900
13a330668
1467d9d84
15452261c
hex2f2d550

49468752 has 80 divisors (see below), whose sum is σ = 142838080. Its totient is φ = 16391808.

The previous prime is 49468733. The next prime is 49468787. The reversal of 49468752 is 25786494.

It is a happy number.

49468752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49468698 and 49468707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132438 + ... + 132810.

It is an arithmetic number, because the mean of its divisors is an integer number (1785476).

Almost surely, 249468752 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 49468752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71419040).

49468752 is an abundant number, since it is smaller than the sum of its proper divisors (93369328).

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

49468752 is a wasteful number, since it uses less digits than its factorization.

49468752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 49468752 is about 7033.4025904963. The cubic root of 49468752 is about 367.0937451547.

The spelling of 49468752 in words is "forty-nine million, four hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 373 432 614 746 921 1119 1228 1492 1842 2238 2456 2763 2984 3357 3684 4476 4912 5526 5968 6714 7368 8289 8952 10071 11052 13428 14736 16578 17904 20142 22104 26856 33156 40284 44208 53712 66312 80568 114511 132624 161136 229022 343533 458044 687066 916088 1030599 1374132 1832176 2061198 2748264 3091797 4122396 5496528 6183594 8244792 12367188 16489584 24734376 49468752