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469038640 = 24573722637
BaseRepresentation
bin11011111101001…
…111011000110000
31012200120122001111
4123331033120300
51430033214030
6114313043104
714423522410
oct3375173060
91180518044
10469038640
1122083a744
121110b6494
1376234675
1446416640
152b29e62a
hex1bf4f630

469038640 has 80 divisors (see below), whose sum is σ = 1280043072. Its totient is φ = 156460032.

The previous prime is 469038631. The next prime is 469038643. The reversal of 469038640 is 46830964.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 469038593 and 469038602.

It is not an unprimeable number, because it can be changed into a prime (469038643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9402 + ... + 32038.

Almost surely, 2469038640 is an apocalyptic number.

469038640 is a gapful number since it is divisible by the number (40) 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 469038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640021536).

469038640 is an abundant number, since it is smaller than the sum of its proper divisors (811004432).

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

469038640 is a wasteful number, since it uses less digits than its factorization.

469038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694 (or 22688 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 469038640 is about 21657.2999240441. The cubic root of 469038640 is about 776.9675376113.

The spelling of 469038640 in words is "four hundred sixty-nine million, thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 4144 5180 10360 20720 22637 45274 90548 113185 158459 181096 226370 316918 362192 452740 633836 792295 837569 905480 1267672 1584590 1675138 1810960 2535344 3169180 3350276 4187845 5862983 6338360 6700552 8375690 11725966 12676720 13401104 16751380 23451932 29314915 33502760 46903864 58629830 67005520 93807728 117259660 234519320 469038640