Search a number
-
+
48329000 = 2353311559
BaseRepresentation
bin1011100001011…
…1000100101000
310100221100220222
42320113010220
544333012000
64443505212
71124534606
oct270270450
9110840828
1048329000
112530a325
1214228208
13a021955
1465c0876
154399a85
hex2e17128

48329000 has 64 divisors (see below), whose sum is σ = 116812800. Its totient is φ = 18696000.

The previous prime is 48328967. The next prime is 48329009. The reversal of 48329000 is 92384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48329009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30221 + ... + 31779.

It is an arithmetic number, because the mean of its divisors is an integer number (1825200).

Almost surely, 248329000 is an apocalyptic number.

48329000 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 48329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58406400).

48329000 is an abundant number, since it is smaller than the sum of its proper divisors (68483800).

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

48329000 is a wasteful number, since it uses less digits than its factorization.

48329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 48329000 is about 6951.9062134065. The cubic root of 48329000 is about 364.2525518593.

The spelling of 48329000 in words is "forty-eight million, three hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 1559 3100 3118 3875 6200 6236 7750 7795 12472 15500 15590 31000 31180 38975 48329 62360 77950 96658 155900 193316 194875 241645 311800 386632 389750 483290 779500 966580 1208225 1559000 1933160 2416450 4832900 6041125 9665800 12082250 24164500 48329000