Search a number
-
+
48824256 = 2631331631
BaseRepresentation
bin1011101000111…
…1111111000000
310101212112021210
42322033333000
544444334011
64502250120
71131666525
oct272177700
9111775253
1048824256
1125618428
1214426940
13a1661c0
1466ad14c
1544466a6
hex2e8ffc0

48824256 has 112 divisors (see below), whose sum is σ = 143833088. Its totient is φ = 14515200.

The previous prime is 48824213. The next prime is 48824257. The reversal of 48824256 is 65242884.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48824257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77061 + ... + 77691.

It is an arithmetic number, because the mean of its divisors is an integer number (1284224).

Almost surely, 248824256 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 48824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71916544).

48824256 is an abundant number, since it is smaller than the sum of its proper divisors (95008832).

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

48824256 is a wasteful number, since it uses less digits than its factorization.

48824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 48824256 is about 6987.4355810984. The cubic root of 48824256 is about 365.4925632406.

The spelling of 48824256 in words is "forty-eight million, eight hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 631 744 806 832 992 1209 1248 1262 1488 1612 1893 1984 2418 2496 2524 2976 3224 3786 4836 5048 5952 6448 7572 8203 9672 10096 12896 15144 16406 19344 19561 20192 24609 25792 30288 32812 38688 39122 40384 49218 58683 60576 65624 77376 78244 98436 117366 121152 131248 156488 196872 234732 254293 262496 312976 393744 469464 508586 524992 625952 762879 787488 938928 1017172 1251904 1525758 1574976 1877856 2034344 3051516 3755712 4068688 6103032 8137376 12206064 16274752 24412128 48824256