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482148672 = 26317914029
BaseRepresentation
bin11100101111010…
…000000101000000
31020121020200122020
4130233100011000
51441412224142
6115502041440
714643124155
oct3457200500
91217220566
10482148672
11228184485
12115579280
1378b74995
144806a22c
152c4ddcec
hex1cbd0140

482148672 has 56 divisors (see below), whose sum is σ = 1282903200. Its totient is φ = 159806976.

The previous prime is 482148659. The next prime is 482148703. The reversal of 482148672 is 276841284.

It is a super-2 number, since 2×4821486722 = 464934683822727168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27354 + ... + 41382.

Almost surely, 2482148672 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 482148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641451600).

482148672 is an abundant number, since it is smaller than the sum of its proper divisors (800754528).

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

482148672 is a wasteful number, since it uses less digits than its factorization.

482148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14223 (or 14213 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 482148672 is about 21957.8840510647. The cubic root of 482148672 is about 784.1400901961.

The spelling of 482148672 in words is "four hundred eighty-two million, one hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 4296 5728 8592 11456 14029 17184 28058 34368 42087 56116 84174 112232 168348 224464 336696 448928 673392 897856 1346784 2511191 2693568 5022382 7533573 10044764 15067146 20089528 30134292 40179056 60268584 80358112 120537168 160716224 241074336 482148672