Search a number
-
+
48120336 = 243211171787
BaseRepresentation
bin1011011110010…
…0001000010000
310100112202200200
42313210020100
544304322321
64435215200
71123005345
oct267441020
9110482620
1048120336
1125187580
1214147500
139c7a994
1465687cc
154357d26
hex2de4210

48120336 has 120 divisors (see below), whose sum is σ = 155641824. Its totient is φ = 13716480.

The previous prime is 48120323. The next prime is 48120337. The reversal of 48120336 is 63302184.

48120336 = 1802 + 1812 + ... + 5312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (48120337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26035 + ... + 27821.

Almost surely, 248120336 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 48120336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77820912).

48120336 is an abundant number, since it is smaller than the sum of its proper divisors (107521488).

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

48120336 is a wasteful number, since it uses less digits than its factorization.

48120336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48120336 is about 6936.8822968247. The cubic root of 48120336 is about 363.7275665479.

The spelling of 48120336 in words is "forty-eight million, one hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 1787 2244 2448 2992 3366 3574 4488 5361 6732 7148 8976 10722 13464 14296 16083 19657 21444 26928 28592 30379 32166 39314 42888 58971 60758 64332 78628 85776 91137 117942 121516 128664 157256 176913 182274 235884 243032 257328 273411 314512 334169 353826 364548 471768 486064 546822 668338 707652 729096 943536 1002507 1093644 1336676 1415304 1458192 2005014 2187288 2673352 2830608 3007521 4010028 4374576 5346704 6015042 8020056 12030084 16040112 24060168 48120336