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49948002 = 2341337641
BaseRepresentation
bin1011111010001…
…0010101100010
310110222121210000
42332202111202
5100241314002
64542320430
71144356666
oct276422542
9113877700
1049948002
1126215745
1214889116
13a46a840
1468c28a6
1545b961c
hex2fa2562

49948002 has 80 divisors (see below), whose sum is σ = 123980472. Its totient is φ = 14929920.

The previous prime is 49947949. The next prime is 49948007. The reversal of 49948002 is 20084994.

It is a happy number.

49948002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49154121 + 793881 = 7011^2 + 891^2 .

It is not an unprimeable number, because it can be changed into a prime (49948007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 77602 + ... + 78242.

Almost surely, 249948002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49948002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61990236).

49948002 is an abundant number, since it is smaller than the sum of its proper divisors (74032470).

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

49948002 is a wasteful number, since it uses less digits than its factorization.

49948002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49948002 is about 7067.3900415924. The cubic root of 49948002 is about 368.2753973881.

It can be divided in two parts, 4994 and 8002, that added together give a square (12996 = 1142).

The spelling of 49948002 in words is "forty-nine million, nine hundred forty-eight thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 641 666 702 962 999 1053 1282 1443 1923 1998 2106 2886 2997 3846 4329 5769 5994 8333 8658 11538 12987 16666 17307 23717 24999 25974 34614 38961 47434 49998 51921 71151 74997 77922 103842 142302 149994 213453 224991 308321 426906 449982 616642 640359 674973 924963 1280718 1349946 1849926 1921077 2774889 3842154 5549778 8324667 16649334 24974001 49948002