Search a number
-
+
48682368 = 273276037
BaseRepresentation
bin1011100110110…
…1010110000000
310101121022122200
42321231112000
544430313433
64455233200
71130536050
oct271552600
9111538580
1048682368
1125530869
1214378800
13a116747
146673560
154419613
hex2e6d580

48682368 has 96 divisors (see below), whose sum is σ = 160127760. Its totient is φ = 13906944.

The previous prime is 48682367. The next prime is 48682391. The reversal of 48682368 is 86328684.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48682363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5046 + ... + 11082.

Almost surely, 248682368 is an apocalyptic number.

48682368 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 48682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80063880).

48682368 is an abundant number, since it is smaller than the sum of its proper divisors (111445392).

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

48682368 is a wasteful number, since it uses less digits than its factorization.

48682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6049 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48682368 is about 6977.2751128216. The cubic root of 48682368 is about 365.1381674949.

The spelling of 48682368 in words is "forty-eight million, six hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 6037 8064 12074 18111 24148 36222 42259 48296 54333 72444 84518 96592 108666 126777 144888 169036 193184 217332 253554 289776 338072 380331 386368 434664 507108 579552 676144 760662 772736 869328 1014216 1159104 1352288 1521324 1738656 2028432 2318208 2704576 3042648 3477312 4056864 5409152 6085296 6954624 8113728 12170592 16227456 24341184 48682368