Search a number
-
+
48637920 = 2535107947
BaseRepresentation
bin1011100110001…
…0011111100000
310101112001200110
42321202133200
544422403140
64454251320
71130262342
oct271423740
9111461613
1048637920
1125500431
1214356b40
13a0cc446
146661292
15440b380
hex2e627e0

48637920 has 96 divisors (see below), whose sum is σ = 154804608. Its totient is φ = 12835328.

The previous prime is 48637909. The next prime is 48637957. The reversal of 48637920 is 2973684.

48637920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50887 + ... + 51833.

It is an arithmetic number, because the mean of its divisors is an integer number (1612548).

Almost surely, 248637920 is an apocalyptic number.

48637920 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 48637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77402304).

48637920 is an abundant number, since it is smaller than the sum of its proper divisors (106166688).

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

48637920 is a wasteful number, since it uses less digits than its factorization.

48637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 48637920 is about 6974.0891878438. The cubic root of 48637920 is about 365.0270074468.

The spelling of 48637920 in words is "forty-eight million, six hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 947 1070 1284 1605 1712 1894 2140 2568 2841 3210 3424 3788 4280 4735 5136 5682 6420 7576 8560 9470 10272 11364 12840 14205 15152 17120 18940 22728 25680 28410 30304 37880 45456 51360 56820 75760 90912 101329 113640 151520 202658 227280 303987 405316 454560 506645 607974 810632 1013290 1215948 1519935 1621264 2026580 2431896 3039870 3242528 4053160 4863792 6079740 8106320 9727584 12159480 16212640 24318960 48637920