Search a number
-
+
472238464 = 2719277701
BaseRepresentation
bin11100001001011…
…100100110000000
31012220121012101111
4130021130212000
51431343112324
6114505413104
714462650345
oct3411344600
91186535344
10472238464
11222625825
1211219a194
1376ab4c59
1446a0a7cc
152b6d2794
hex1c25c980

472238464 has 64 divisors (see below), whose sum is σ = 995295600. Its totient is φ = 222566400.

The previous prime is 472238449. The next prime is 472238471. The reversal of 472238464 is 464832274.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673314 + ... + 674014.

Almost surely, 2472238464 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 472238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497647800).

472238464 is an abundant number, since it is smaller than the sum of its proper divisors (523057136).

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

472238464 is a wasteful number, since it uses less digits than its factorization.

472238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 999 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 472238464 is about 21731.0483870429. The cubic root of 472238464 is about 778.7303824970.

The spelling of 472238464 in words is "four hundred seventy-two million, two hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 277 304 554 608 701 1108 1216 1402 2216 2432 2804 4432 5263 5608 8864 10526 11216 13319 17728 21052 22432 26638 35456 42104 44864 53276 84208 89728 106552 168416 194177 213104 336832 388354 426208 673664 776708 852416 1553416 1704832 3106832 3689363 6213664 7378726 12427328 14757452 24854656 29514904 59029808 118059616 236119232 472238464