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454143872 = 27713127307
BaseRepresentation
bin11011000100011…
…010111110000000
31011122112220021102
4123010122332000
51412230100442
6113021513532
714153105420
oct3304327600
91148486242
10454143872
11213397016
121081128a8
137311abb0
144445a480
1529d0b232
hex1b11af80

454143872 has 128 divisors (see below), whose sum is σ = 1125949440. Its totient is φ = 177666048.

The previous prime is 454143829. The next prime is 454143881. The reversal of 454143872 is 278341454.

It is a tau number, because it is divible by the number of its divisors (128).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1479143 + ... + 1479449.

It is an arithmetic number, because the mean of its divisors is an integer number (8796480).

Almost surely, 2454143872 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 454143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562974720).

454143872 is an abundant number, since it is smaller than the sum of its proper divisors (671805568).

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

454143872 is a wasteful number, since it uses less digits than its factorization.

454143872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 454143872 is about 21310.6516089959. The cubic root of 454143872 is about 768.6544623866.

The spelling of 454143872 in words is "four hundred fifty-four million, one hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 128 182 208 224 254 307 364 416 448 508 614 728 832 889 896 1016 1228 1456 1651 1664 1778 2032 2149 2456 2912 3302 3556 3991 4064 4298 4912 5824 6604 7112 7982 8128 8596 9824 11557 11648 13208 14224 15964 16256 17192 19648 23114 26416 27937 28448 31928 34384 38989 39296 46228 52832 55874 56896 63856 68768 77978 92456 105664 111748 113792 127712 137536 155956 184912 211328 223496 255424 272923 275072 311912 369824 446992 506857 510848 545846 623824 739648 893984 1013714 1091692 1247648 1479296 1787968 2027428 2183384 2495296 3547999 3575936 4054856 4366768 4990592 7095998 8109712 8733536 14191996 16219424 17467072 28383992 32438848 34934144 56767984 64877696 113535968 227071936 454143872