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487878552 = 23347591823
BaseRepresentation
bin11101000101000…
…110111110011000
31021000000210120000
4131011012332120
51444344103202
6120224533000
715042620310
oct3505067630
91230023500
10487878552
11230438417
12117481160
137a0cca45
1448b1c440
152cc7191c
hex1d146f98

487878552 has 160 divisors (see below), whose sum is σ = 1589068800. Its totient is φ = 136956096.

The previous prime is 487878551. The next prime is 487878619. The reversal of 487878552 is 255878784.

487878552 is a `hidden beast` number, since 4 + 8 + 7 + 87 + 8 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487878551) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266713 + ... + 268535.

It is an arithmetic number, because the mean of its divisors is an integer number (9931680).

Almost surely, 2487878552 is an apocalyptic number.

487878552 is a gapful number since it is divisible by the number (42) 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 487878552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794534400).

487878552 is an abundant number, since it is smaller than the sum of its proper divisors (1101190248).

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

487878552 is a wasteful number, since it uses less digits than its factorization.

487878552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1894 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The square root of 487878552 is about 22087.9730170063. The cubic root of 487878552 is about 787.2341197659.

The spelling of 487878552 in words is "four hundred eighty-seven million, eight hundred seventy-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 59 63 72 81 84 108 118 126 162 168 177 189 216 236 252 324 354 378 413 472 504 531 567 648 708 756 826 1062 1134 1239 1416 1512 1593 1652 1823 2124 2268 2478 3186 3304 3646 3717 4248 4536 4779 4956 5469 6372 7292 7434 9558 9912 10938 11151 12744 12761 14584 14868 16407 19116 21876 22302 25522 29736 32814 33453 38232 38283 43752 44604 49221 51044 65628 66906 76566 89208 98442 102088 107557 114849 131256 133812 147663 153132 196884 215114 229698 267624 295326 306264 322671 344547 393768 430228 459396 590652 645342 689094 752899 860456 918792 968013 1033641 1181304 1290684 1378188 1505798 1936026 2067282 2258697 2581368 2756376 2904039 3011596 3872052 4134564 4517394 5808078 6023192 6776091 7744104 8269128 8712117 9034788 11616156 13552182 17424234 18069576 20328273 23232312 27104364 34848468 40656546 54208728 60984819 69696936 81313092 121969638 162626184 243939276 487878552