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484627968 = 2933113187
BaseRepresentation
bin11100111000101…
…101011000000000
31020202220122121000
4130320231120000
51443031043333
6120031132000
715003161346
oct3470553000
91222818530
10484627968
11229618190
12116374000
1379532316
1448513996
152c82d713
hex1ce2d600

484627968 has 160 divisors (see below), whose sum is σ = 1565435520. Its totient is φ = 146810880.

The previous prime is 484627939. The next prime is 484628029. The reversal of 484627968 is 869726484.

484627968 is a `hidden beast` number, since 4 + 8 + 4 + 627 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150471 + ... + 153657.

It is an arithmetic number, because the mean of its divisors is an integer number (9783972).

Almost surely, 2484627968 is an apocalyptic number.

484627968 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 484627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782717760).

484627968 is an abundant number, since it is smaller than the sum of its proper divisors (1080807552).

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

484627968 is a wasteful number, since it uses less digits than its factorization.

484627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3203 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 484627968 is about 22014.2673736829. The cubic root of 484627968 is about 785.4818565139.

The spelling of 484627968 in words is "four hundred eighty-four million, six hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3187 3456 4224 4608 4752 5632 6336 6374 6912 8448 9504 9561 12672 12748 13824 16896 19008 19122 25344 25496 28683 35057 38016 38244 50688 50992 57366 70114 76032 76488 86049 101984 105171 114732 140228 152064 152976 172098 203968 210342 229464 280456 305952 315513 344196 407936 420684 458928 560912 611904 631026 688392 815872 841368 917856 946539 1121824 1223808 1262052 1376784 1631744 1682736 1835712 1893078 2243648 2447616 2524104 2753568 3365472 3671424 3786156 4487296 4895232 5048208 5507136 6730944 7342848 7572312 8974592 10096416 11014272 13461888 14685696 15144624 17949184 20192832 22028544 26923776 30289248 40385664 44057088 53847552 60578496 80771328 121156992 161542656 242313984 484627968