Search a number
-
+
457000224 = 2534760419
BaseRepresentation
bin11011001111010…
…100010100100000
31011211221000110020
4123033110110200
51413443001344
6113203033440
714216303112
oct3317242440
91154830406
10457000224
11214a6803a
1210906b880
13738ab045
14449a13b2
152a1c2719
hex1b3d4520

457000224 has 24 divisors (see below), whose sum is σ = 1199625840. Its totient is φ = 152333376.

The previous prime is 457000213. The next prime is 457000231. The reversal of 457000224 is 422000754.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 457000194 and 457000203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2380114 + ... + 2380305.

It is an arithmetic number, because the mean of its divisors is an integer number (49984410).

Almost surely, 2457000224 is an apocalyptic number.

It is an amenable number.

457000224 is an abundant number, since it is smaller than the sum of its proper divisors (742625616).

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

457000224 is a wasteful number, since it uses less digits than its factorization.

457000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760432 (or 4760424 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 457000224 is about 21377.5635655703. The cubic root of 457000224 is about 770.2625876776.

Adding to 457000224 its reverse (422000754), we get a palindrome (879000978).

The spelling of 457000224 in words is "four hundred fifty-seven million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4760419 9520838 14281257 19041676 28562514 38083352 57125028 76166704 114250056 152333408 228500112 457000224