Search a number
-
+
48782240 = 2551347499
BaseRepresentation
bin1011101000010…
…1101110100000
310101210101122122
42322011232200
544442012430
64501323412
71131433163
oct272055640
9111711578
1048782240
1125599901
1214406568
13a150040
14669bada
154438ee5
hex2e85ba0

48782240 has 96 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 17593344.

The previous prime is 48782233. The next prime is 48782257. The reversal of 48782240 is 4228784.

It is a self number, because there is not a number n which added to its sum of digits gives 48782240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97511 + ... + 98009.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 248782240 is an apocalyptic number.

48782240 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 48782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

48782240 is an abundant number, since it is smaller than the sum of its proper divisors (78225760).

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

48782240 is a wasteful number, since it uses less digits than its factorization.

48782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 48782240 is about 6984.4283946505. The cubic root of 48782240 is about 365.3876908953.

The spelling of 48782240 in words is "forty-eight million, seven hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 65 80 94 104 130 160 188 208 235 260 376 416 470 499 520 611 752 940 998 1040 1222 1504 1880 1996 2080 2444 2495 3055 3760 3992 4888 4990 6110 6487 7520 7984 9776 9980 12220 12974 15968 19552 19960 23453 24440 25948 32435 39920 46906 48880 51896 64870 79840 93812 97760 103792 117265 129740 187624 207584 234530 259480 304889 375248 469060 518960 609778 750496 938120 1037920 1219556 1524445 1876240 2439112 3048890 3752480 4878224 6097780 9756448 12195560 24391120 48782240