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469046920 = 235191573931
BaseRepresentation
bin11011111101010…
…001011010001000
31012200121001102011
4123331101122020
51430034000140
6114313145304
714423555506
oct3375213210
91180531364
10469046920
11220845991
121110bb234
1376238374
1446419676
152b2a1cea
hex1bf51688

469046920 has 64 divisors (see below), whose sum is σ = 1118260800. Its totient is φ = 176567040.

The previous prime is 469046911. The next prime is 469046923. The reversal of 469046920 is 29640964.

It is a super-2 number, since 2×4690469202 = 440010026322972800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (469046923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117355 + ... + 121285.

It is an arithmetic number, because the mean of its divisors is an integer number (17472825).

Almost surely, 2469046920 is an apocalyptic number.

469046920 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 469046920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559130400).

469046920 is an abundant number, since it is smaller than the sum of its proper divisors (649213880).

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

469046920 is a wasteful number, since it uses less digits than its factorization.

469046920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 469046920 is about 21657.4910827639. The cubic root of 469046920 is about 776.9721095540.

It can be divided in two parts, 46904 and 6920, that added together give a square (53824 = 2322).

The spelling of 469046920 in words is "four hundred sixty-nine million, forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 157 190 314 380 628 760 785 1256 1570 2983 3140 3931 5966 6280 7862 11932 14915 15724 19655 23864 29830 31448 39310 59660 74689 78620 119320 149378 157240 298756 373445 597512 617167 746890 1234334 1493780 2468668 2987560 3085835 4937336 6171670 11726173 12343340 23452346 24686680 46904692 58630865 93809384 117261730 234523460 469046920