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1487490816 = 28372711021
BaseRepresentation
bin101100010101001…
…0100111100000000
310211122222100210110
41120222110330000
511021244201231
6403334031320
751601314630
oct13052247400
93748870713
101487490816
116a3716959
123561a8540
131a92325a6
141017a86c0
158a8c8046
hex58a94f00

1487490816 has 144 divisors (see below), whose sum is σ = 4545594368. Its totient is φ = 423014400.

The previous prime is 1487490811. The next prime is 1487490833. The reversal of 1487490816 is 6180947841.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1487490811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1456386 + ... + 1457406.

Almost surely, 21487490816 is an apocalyptic number.

1487490816 is a gapful number since it is divisible by the number (16) 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 1487490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272797184).

1487490816 is an abundant number, since it is smaller than the sum of its proper divisors (3058103552).

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

1487490816 is a wasteful number, since it uses less digits than its factorization.

1487490816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 1487490816 is about 38568.0024891101. The cubic root of 1487490816 is about 1141.5232576670.

The spelling of 1487490816 in words is "one billion, four hundred eighty-seven million, four hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 271 336 384 448 542 672 768 813 896 1021 1084 1344 1626 1792 1897 2042 2168 2688 3063 3252 3794 4084 4336 5376 5691 6126 6504 7147 7588 8168 8672 11382 12252 13008 14294 15176 16336 17344 21441 22764 24504 26016 28588 30352 32672 34688 42882 45528 49008 52032 57176 60704 65344 69376 85764 91056 98016 104064 114352 121408 130688 171528 182112 196032 208128 228704 242816 261376 276691 343056 364224 392064 457408 485632 553382 686112 728448 784128 830073 914816 1106764 1372224 1456896 1660146 1829632 1936837 2213528 2744448 3320292 3873674 4427056 5488896 5810511 6640584 7747348 8854112 11621022 13281168 15494696 17708224 23242044 26562336 30989392 35416448 46484088 53124672 61978784 70832896 92968176 106249344 123957568 185936352 212498688 247915136 371872704 495830272 743745408 1487490816