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487090944 = 28321631297
BaseRepresentation
bin11101000010000…
…110101100000000
31020221112210011100
4131002012230000
51444143402234
6120200014400
715033130134
oct3502065400
91227483140
10487090944
1122aa4a6aa
12117161400
1379bb53c2
14489953c4
152cb68399
hex1d086b00

487090944 has 108 divisors (see below), whose sum is σ = 1414108696. Its totient is φ = 161243136.

The previous prime is 487090921. The next prime is 487090949. The reversal of 487090944 is 449090784.

It is a super-2 number, since 2×4870909442 = 474515175453622272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 487090944.

It is not an unprimeable number, because it can be changed into a prime (487090949) 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, 374904 + ... + 376200.

Almost surely, 2487090944 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 487090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707054348).

487090944 is an abundant number, since it is smaller than the sum of its proper divisors (927017752).

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

487090944 is a wasteful number, since it uses less digits than its factorization.

487090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 487090944 is about 22070.1369275317. The cubic root of 487090944 is about 786.8102671236.

The spelling of 487090944 in words is "four hundred eighty-seven million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 576 652 768 978 1152 1297 1304 1467 1956 2304 2594 2608 2934 3891 3912 5188 5216 5868 7782 7824 10376 10432 11673 11736 15564 15648 20752 20864 23346 23472 31128 31296 41504 41728 46692 46944 62256 62592 83008 93384 93888 124512 125184 166016 186768 187776 211411 249024 332032 373536 375552 422822 498048 634233 747072 845644 996096 1268466 1494144 1691288 1902699 2536932 2988288 3382576 3805398 5073864 6765152 7610796 10147728 13530304 15221592 20295456 27060608 30443184 40590912 54121216 60886368 81181824 121772736 162363648 243545472 487090944