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48939744 = 2537193833
BaseRepresentation
bin1011101010110…
…0001011100000
310102002101201010
42322230023200
5100012032434
64504540520
71132660320
oct272541340
9112071633
1048939744
1125697177
1214481740
13a1a6939
1466dd280
15446a9e9
hex2eac2e0

48939744 has 96 divisors (see below), whose sum is σ = 154586880. Its totient is φ = 13243392.

The previous prime is 48939743. The next prime is 48939749. The reversal of 48939744 is 44793984.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 48939693 and 48939702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48939743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10852 + ... + 14684.

It is an arithmetic number, because the mean of its divisors is an integer number (1610280).

Almost surely, 248939744 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 48939744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77293440).

48939744 is an abundant number, since it is smaller than the sum of its proper divisors (105647136).

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

48939744 is a wasteful number, since it uses less digits than its factorization.

48939744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3864 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 48939744 is about 6995.6946760132. The cubic root of 48939744 is about 365.7805127923.

Subtracting from 48939744 its reverse (44793984), we obtain a triangular number (4145760 = T2879).

The spelling of 48939744 in words is "forty-eight million, nine hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 3833 4256 6384 7666 11499 12768 15332 22998 26831 30664 45996 53662 61328 72827 80493 91992 107324 122656 145654 160986 183984 214648 218481 291308 321972 367968 429296 436962 509789 582616 643944 858592 873924 1019578 1165232 1287888 1529367 1747848 2039156 2330464 2575776 3058734 3495696 4078312 6117468 6991392 8156624 12234936 16313248 24469872 48939744