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4869504 = 27331409
BaseRepresentation
bin10010100100110110000000
3100011101201000
4102210312000
52221311004
6252212000
756250543
oct22446600
910141630
104869504
112826592
12176a000
131016583
1490a85a
15662c39
hex4a4d80

4869504 has 64 divisors (see below), whose sum is σ = 14382000. Its totient is φ = 1622016.

The previous prime is 4869503. The next prime is 4869517. The reversal of 4869504 is 4059684.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4869503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2752 + ... + 4160.

Almost surely, 24869504 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 4869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191000).

4869504 is an abundant number, since it is smaller than the sum of its proper divisors (9512496).

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

4869504 is a wasteful number, since it uses less digits than its factorization.

4869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4869504 is about 2206.6952666827. The cubic root of 4869504 is about 169.4968281966.

The spelling of 4869504 in words is "four million, eight hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1409 1728 2818 3456 4227 5636 8454 11272 12681 16908 22544 25362 33816 38043 45088 50724 67632 76086 90176 101448 135264 152172 180352 202896 270528 304344 405792 541056 608688 811584 1217376 1623168 2434752 4869504