Search a number
-
+
48979040 = 25511171637
BaseRepresentation
bin1011101011010…
…1110001100000
310102011101121112
42322311301200
5100014312130
64505442452
71133213015
oct272656140
9112141545
1048979040
1125713750
12144a0428
13a1bb7a6
14670d70c
154477495
hex2eb5c60

48979040 has 96 divisors (see below), whose sum is σ = 133739424. Its totient is φ = 16752640.

The previous prime is 48979037. The next prime is 48979043. The reversal of 48979040 is 4097984.

48979040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48979037) and next prime (48979043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48979043) 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 15 ways as a sum of consecutive naturals, for example, 29102 + ... + 30738.

It is an arithmetic number, because the mean of its divisors is an integer number (1393119).

Almost surely, 248979040 is an apocalyptic number.

48979040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66869712).

48979040 is an abundant number, since it is smaller than the sum of its proper divisors (84760384).

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

48979040 is a wasteful number, since it uses less digits than its factorization.

48979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 48979040 is about 6998.5026970060. The cubic root of 48979040 is about 365.8783873381.

The spelling of 48979040 in words is "forty-eight million, nine hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1637 1760 1870 2720 2992 3274 3740 5984 6548 7480 8185 13096 14960 16370 18007 26192 27829 29920 32740 36014 52384 55658 65480 72028 90035 111316 130960 139145 144056 180070 222632 261920 278290 288112 306119 360140 445264 556580 576224 612238 720280 890528 1113160 1224476 1440560 1530595 2226320 2448952 2881120 3061190 4452640 4897904 6122380 9795808 12244760 24489520 48979040