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487790016 = 2637675417
BaseRepresentation
bin11101000100110…
…001010111000000
31020222212022002220
4131010301113000
51444333240031
6120223011040
715042101220
oct3504612700
91228768086
10487790016
1123038794a
12117439a80
137a09b65c
1448ad8080
152cc55596
hex1d1315c0

487790016 has 112 divisors (see below), whose sum is σ = 1497275136. Its totient is φ = 137263104.

The previous prime is 487789999. The next prime is 487790033. The reversal of 487790016 is 610097784.

It is an interprime number because it is at equal distance from previous prime (487789999) and next prime (487790033).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 487790016.

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, 87340 + ... + 92756.

It is an arithmetic number, because the mean of its divisors is an integer number (13368528).

Almost surely, 2487790016 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 487790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748637568).

487790016 is an abundant number, since it is smaller than the sum of its proper divisors (1009485120).

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

487790016 is a wasteful number, since it uses less digits than its factorization.

487790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 487790016 is about 22085.9687584674. The cubic root of 487790016 is about 787.1864967279.

The spelling of 487790016 in words is "four hundred eighty-seven million, seven hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 134 168 192 201 224 268 336 402 448 469 536 672 804 938 1072 1344 1407 1608 1876 2144 2814 3216 3752 4288 5417 5628 6432 7504 10834 11256 12864 15008 16251 21668 22512 30016 32502 37919 43336 45024 65004 75838 86672 90048 113757 130008 151676 173344 227514 260016 303352 346688 362939 455028 520032 606704 725878 910056 1040064 1088817 1213408 1451756 1820112 2177634 2426816 2540573 2903512 3640224 4355268 5081146 5807024 7280448 7621719 8710536 10162292 11614048 15243438 17421072 20324584 23228096 30486876 34842144 40649168 60973752 69684288 81298336 121947504 162596672 243895008 487790016