Search a number
-
+
472494456 = 233272199673
BaseRepresentation
bin11100001010011…
…011000101111000
31012221002012112200
4130022123011320
51431424310311
6114515110200
714465064600
oct3412330570
91187065480
10472494456
11222790095
121122a2360
1376b74625
1446a75c00
152b733556
hex1c29b178

472494456 has 144 divisors (see below), whose sum is σ = 1498302000. Its totient is φ = 134120448.

The previous prime is 472494443. The next prime is 472494487. The reversal of 472494456 is 654494274.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 701736 + ... + 702408.

It is an arithmetic number, because the mean of its divisors is an integer number (10404875).

Almost surely, 2472494456 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 472494456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749151000).

472494456 is an abundant number, since it is smaller than the sum of its proper divisors (1025807544).

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

472494456 is a wasteful number, since it uses less digits than its factorization.

472494456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 884 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 472494456 is about 21736.9375947947. The cubic root of 472494456 is about 778.8710690025.

The spelling of 472494456 in words is "four hundred seventy-two million, four hundred ninety-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 199 252 294 392 398 441 504 588 597 673 796 882 1176 1194 1346 1393 1592 1764 1791 2019 2388 2692 2786 3528 3582 4038 4179 4711 4776 5384 5572 6057 7164 8076 8358 9422 9751 11144 12114 12537 14133 14328 16152 16716 18844 19502 24228 25074 28266 29253 32977 33432 37688 39004 42399 48456 50148 56532 58506 65954 78008 84798 87759 98931 100296 113064 117012 131908 133927 169596 175518 197862 234024 263816 267854 296793 339192 351036 395724 401781 535708 593586 702072 791448 803562 937489 1071416 1187172 1205343 1607124 1874978 2374344 2410686 2812467 3214248 3749956 4821372 5624934 6562423 7499912 8437401 9642744 11249868 13124846 16874802 19687269 22499736 26249692 33749604 39374538 52499384 59061807 67499208 78749076 118123614 157498152 236247228 472494456