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487974144 = 2837212967
BaseRepresentation
bin11101000101011…
…110010100000000
31021000012122200110
4131011132110000
51444410133034
6120230551320
715043466100
oct3505362400
91230178613
10487974144
112304a3219
12117508540
137a1343c8
1448b45200
152cc8ede9
hex1d15e500

487974144 has 108 divisors (see below), whose sum is σ = 1510875744. Its totient is φ = 139410432.

The previous prime is 487974133. The next prime is 487974161. The reversal of 487974144 is 441479784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 487974093 and 487974102.

It is a congruent number.

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, 31149 + ... + 44115.

Almost surely, 2487974144 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 487974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755437872).

487974144 is an abundant number, since it is smaller than the sum of its proper divisors (1022901600).

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

487974144 is a wasteful number, since it uses less digits than its factorization.

487974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13000 (or 12979 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 487974144 is about 22090.1368035601. The cubic root of 487974144 is about 787.2855317203.

The spelling of 487974144 in words is "four hundred eighty-seven million, nine hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 12967 18816 25934 37632 38901 51868 77802 90769 103736 155604 181538 207472 272307 311208 363076 414944 544614 622416 635383 726152 829888 1089228 1244832 1270766 1452304 1659776 1906149 2178456 2489664 2541532 2904608 3319552 3812298 4356912 4979328 5083064 5809216 7624596 8713824 9958656 10166128 11618432 15249192 17427648 20332256 23236864 30498384 34855296 40664512 60996768 69710592 81329024 121993536 162658048 243987072 487974144