Search a number
-
+
469965024 = 25331274283
BaseRepresentation
bin11100000000110…
…001100011100000
31012202022200211000
4130000301203200
51430302340044
6114344552000
714434431264
oct3400614340
91182280730
10469965024
11221312751
12111482600
137649a219
14465b80a4
152b3d3d69
hex1c0318e0

469965024 has 96 divisors (see below), whose sum is σ = 1381847040. Its totient is φ = 155385216.

The previous prime is 469964959. The next prime is 469965029. The reversal of 469965024 is 420569964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469965029) 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, 107587 + ... + 111869.

It is an arithmetic number, because the mean of its divisors is an integer number (14394240).

Almost surely, 2469965024 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 469965024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

469965024 is an abundant number, since it is smaller than the sum of its proper divisors (911882016).

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

469965024 is a wasteful number, since it uses less digits than its factorization.

469965024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 469965024 is about 21678.6767123826. The cubic root of 469965024 is about 777.4787228939.

The spelling of 469965024 in words is "four hundred sixty-nine million, nine hundred sixty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2286 3048 3429 4064 4283 4572 6096 6858 8566 9144 12192 12849 13716 17132 18288 25698 27432 34264 36576 38547 51396 54864 68528 77094 102792 109728 115641 137056 154188 205584 231282 308376 411168 462564 543941 616752 925128 1087882 1233504 1631823 1850256 2175764 3263646 3700512 4351528 4895469 6527292 8703056 9790938 13054584 14686407 17406112 19581876 26109168 29372814 39163752 52218336 58745628 78327504 117491256 156655008 234982512 469965024