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472308048 = 243289137269
BaseRepresentation
bin11100001001101…
…101100101010000
31012220201201211200
4130021231211100
51431402324143
6114511111200
714463360252
oct3411554520
91186651750
10472308048
11222673033
12112212500
1376b0a824
1446a27cd2
152b6e81d3
hex1c26d950

472308048 has 120 divisors (see below), whose sum is σ = 1351420200. Its totient is φ = 153956352.

The previous prime is 472308043. The next prime is 472308073. The reversal of 472308048 is 840803274.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 472279824 = 168^2 + 21732^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472308041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1755658 + ... + 1755926.

It is an arithmetic number, because the mean of its divisors is an integer number (11261835).

Almost surely, 2472308048 is an apocalyptic number.

472308048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472308048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675710100).

472308048 is an abundant number, since it is smaller than the sum of its proper divisors (879112152).

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

472308048 is a wasteful number, since it uses less digits than its factorization.

472308048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 472308048 is about 21732.6493552903. The cubic root of 472308048 is about 778.7686290736.

It can be divided in two parts, 47230 and 8048, that added together give a triangular number (55278 = T332).

The spelling of 472308048 in words is "four hundred seventy-two million, three hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 137 144 178 267 269 274 356 411 534 538 548 712 801 807 822 1068 1076 1096 1233 1424 1602 1614 1644 2136 2152 2192 2421 2466 3204 3228 3288 4272 4304 4842 4932 6408 6456 6576 9684 9864 12193 12816 12912 19368 19728 23941 24386 36579 36853 38736 47882 48772 71823 73158 73706 95764 97544 109737 110559 143646 146316 147412 191528 195088 215469 219474 221118 287292 292632 294824 331677 383056 430938 438948 442236 574584 585264 589648 663354 861876 877896 884472 1149168 1326708 1723752 1755792 1768944 2653416 3279917 3447504 5306832 6559834 9839751 13119668 19679502 26239336 29519253 39359004 52478672 59038506 78718008 118077012 157436016 236154024 472308048