Search a number
-
+
488149056 = 26322336847
BaseRepresentation
bin11101000110001…
…001000001000000
31021000112112121200
4131012021001000
51444431232211
6120234421200
715045125043
oct3506110100
91230475550
10488149056
1123060267a
12117591800
137a195bc5
1448b8cc5a
152ccc6b56
hex1d189040

488149056 has 84 divisors (see below), whose sum is σ = 1460065152. Its totient is φ = 155637504.

The previous prime is 488149043. The next prime is 488149073. The reversal of 488149056 is 650941884.

It is a super-2 number, since 2×4881490562 = 476579001747382272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5176 + ... + 31671.

It is an arithmetic number, because the mean of its divisors is an integer number (17381728).

Almost surely, 2488149056 is an apocalyptic number.

488149056 is a gapful number since it is divisible by the number (46) 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 488149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730032576).

488149056 is an abundant number, since it is smaller than the sum of its proper divisors (971916096).

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

488149056 is a wasteful number, since it uses less digits than its factorization.

488149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36888 (or 36875 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 488149056 is about 22094.0955008346. The cubic root of 488149056 is about 787.3795867289.

The spelling of 488149056 in words is "four hundred eighty-eight million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 36847 73694 110541 147388 221082 294776 331623 442164 589552 663246 847481 884328 1179104 1326492 1694962 1768656 2358208 2542443 2652984 3389924 3537312 5084886 5305968 6779848 7074624 7627329 10169772 10611936 13559696 15254658 20339544 21223872 27119392 30509316 40679088 54238784 61018632 81358176 122037264 162716352 244074528 488149056