Search a number
-
+
48402900 = 223352713197
BaseRepresentation
bin1011100010100…
…1000111010100
310101002010022000
42320221013110
544342343100
64445235300
71125263220
oct270510724
9111063260
1048402900
112535a8a7
1214262b30
13a049490
1465dd780
1543b1900
hex2e291d4

48402900 has 288 divisors, whose sum is σ = 192487680. Its totient is φ = 10160640.

The previous prime is 48402889. The next prime is 48402911. The reversal of 48402900 is 920484.

It is an interprime number because it is at equal distance from previous prime (48402889) and next prime (48402911).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245602 + ... + 245798.

It is an arithmetic number, because the mean of its divisors is an integer number (668360).

Almost surely, 248402900 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 48402900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

48402900 is an abundant number, since it is smaller than the sum of its proper divisors (144084780).

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

48402900 is a wasteful number, since it uses less digits than its factorization.

48402900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48402900 is about 6957.2192720943. The cubic root of 48402900 is about 364.4381171511.

The spelling of 48402900 in words is "forty-eight million, four hundred two thousand, nine hundred".