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473623640 = 235719127701
BaseRepresentation
bin11100001110101…
…110110001011000
31020000012120111022
4130032232301120
51432221424030
6114555222012
714510506640
oct3416566130
91200176438
10473623640
112233914a6
12112747908
137717b599
1446c8b520
152b8a7de5
hex1c3aec58

473623640 has 128 divisors (see below), whose sum is σ = 1293926400. Its totient is φ = 152409600.

The previous prime is 473623607. The next prime is 473623649. The reversal of 473623640 is 46326374.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 473623640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473623649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675290 + ... + 675990.

It is an arithmetic number, because the mean of its divisors is an integer number (10108800).

Almost surely, 2473623640 is an apocalyptic number.

473623640 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 473623640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646963200).

473623640 is an abundant number, since it is smaller than the sum of its proper divisors (820302760).

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

473623640 is a wasteful number, since it uses less digits than its factorization.

473623640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The square root of 473623640 is about 21762.8959470012. The cubic root of 473623640 is about 779.4910332904.

The spelling of 473623640 in words is "four hundred seventy-three million, six hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 127 133 140 152 190 254 266 280 380 508 532 635 665 701 760 889 1016 1064 1270 1330 1402 1778 2413 2540 2660 2804 3505 3556 4445 4826 4907 5080 5320 5608 7010 7112 8890 9652 9814 12065 13319 14020 16891 17780 19304 19628 24130 24535 26638 28040 33782 35560 39256 48260 49070 53276 66595 67564 84455 89027 93233 96520 98140 106552 133190 135128 168910 178054 186466 196280 266380 337820 356108 372932 445135 466165 532760 623189 675640 712216 745864 890270 932330 1246378 1691513 1780540 1864660 2492756 3115945 3383026 3561080 3729320 4985512 6231890 6766052 8457565 11840591 12463780 13532104 16915130 23681182 24927560 33830260 47362364 59202955 67660520 94724728 118405910 236811820 473623640