Search a number
-
+
48828528 = 2433767241
BaseRepresentation
bin1011101001000…
…1000001110000
310101212202011000
42322101001300
5100000003103
64502322000
71132015140
oct272210160
9111782130
1048828528
1125620661
1214429300
13a168128
1466b0920
154447aa3
hex2e91070

48828528 has 160 divisors (see below), whose sum is σ = 163243520. Its totient is φ = 13685760.

The previous prime is 48828511. The next prime is 48828541. The reversal of 48828528 is 82582884.

48828528 is a `hidden beast` number, since 48 + 82 + 8 + 528 = 666.

Its product of digits (327680) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202488 + ... + 202728.

It is an arithmetic number, because the mean of its divisors is an integer number (1020272).

Almost surely, 248828528 is an apocalyptic number.

48828528 is a gapful number since it is divisible by the number (48) 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 48828528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81621760).

48828528 is an abundant number, since it is smaller than the sum of its proper divisors (114414992).

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

48828528 is a wasteful number, since it uses less digits than its factorization.

48828528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 48828528 is about 6987.7412659600. The cubic root of 48828528 is about 365.5032228240.

The spelling of 48828528 in words is "forty-eight million, eight hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 67 72 84 108 112 126 134 144 168 189 201 216 241 252 268 336 378 402 432 469 482 504 536 603 723 756 804 938 964 1008 1072 1206 1407 1446 1512 1608 1687 1809 1876 1928 2169 2412 2814 2892 3024 3216 3374 3618 3752 3856 4221 4338 4824 5061 5628 5784 6507 6748 7236 7504 8442 8676 9648 10122 11256 11568 12663 13014 13496 14472 15183 16147 16884 17352 20244 22512 25326 26028 26992 28944 30366 32294 33768 34704 40488 45549 48441 50652 52056 60732 64588 67536 80976 91098 96882 101304 104112 113029 121464 129176 145323 182196 193764 202608 226058 242928 258352 290646 339087 364392 387528 435969 452116 581292 678174 728784 775056 871938 904232 1017261 1162584 1356348 1743876 1808464 2034522 2325168 2712696 3051783 3487752 4069044 5425392 6103566 6975504 8138088 12207132 16276176 24414264 48828528