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469238448 = 24373074549
BaseRepresentation
bin11011111110000…
…000001010110000
31012200221210010210
4123332000022300
51430111112243
6114321224120
714425314060
oct3376001260
91180853123
10469238448
11220966878
12111192040
13762a45b3
14464693a0
152b2dd933
hex1bf802b0

469238448 has 80 divisors (see below), whose sum is σ = 1390188800. Its totient is φ = 133602048.

The previous prime is 469238443. The next prime is 469238449. The reversal of 469238448 is 844832964.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 469238397 and 469238406.

It is not an unprimeable number, because it can be changed into a prime (469238443) 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 15 ways as a sum of consecutive naturals, for example, 100878 + ... + 105426.

It is an arithmetic number, because the mean of its divisors is an integer number (17377360).

Almost surely, 2469238448 is an apocalyptic number.

469238448 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 469238448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695094400).

469238448 is an abundant number, since it is smaller than the sum of its proper divisors (920950352).

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

469238448 is a wasteful number, since it uses less digits than its factorization.

469238448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4868 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 469238448 is about 21661.9123809510. The cubic root of 469238448 is about 777.0778499803.

The spelling of 469238448 in words is "four hundred sixty-nine million, two hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 307 336 614 921 1228 1842 2149 2456 3684 4298 4549 4912 6447 7368 8596 9098 12894 13647 14736 17192 18196 25788 27294 31843 34384 36392 51576 54588 63686 72784 95529 103152 109176 127372 191058 218352 254744 382116 509488 764232 1396543 1528464 2793086 4189629 5586172 8379258 9775801 11172344 16758516 19551602 22344688 29327403 33517032 39103204 58654806 67034064 78206408 117309612 156412816 234619224 469238448