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483735040 = 295375107
BaseRepresentation
bin11100110101010…
…011011000000000
31020201020021201121
4130311103120000
51442314010130
6120000042024
714662452145
oct3465233000
91221207647
10483735040
11229068328
12116003314
13792aba69
14483603cc
152c703d7a
hex1cd53600

483735040 has 80 divisors (see below), whose sum is σ = 1191410352. Its totient is φ = 188227584.

The previous prime is 483734987. The next prime is 483735053. The reversal of 483735040 is 40537384.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 483734987 and 483735005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92167 + ... + 97273.

Almost surely, 2483735040 is an apocalyptic number.

483735040 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 483735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595705176).

483735040 is an abundant number, since it is smaller than the sum of its proper divisors (707675312).

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

483735040 is an equidigital number, since it uses as much as digits as its factorization.

483735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 483735040 is about 21993.9773574495. The cubic root of 483735040 is about 784.9991426282. Note that the first 3 decimals are identical.

The spelling of 483735040 in words is "four hundred eighty-three million, seven hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1184 1280 1480 2368 2560 2960 4736 5107 5920 9472 10214 11840 18944 20428 23680 25535 40856 47360 51070 81712 94720 102140 163424 188959 204280 326848 377918 408560 653696 755836 817120 944795 1307392 1511672 1634240 1889590 2614784 3023344 3268480 3779180 6046688 6536960 7558360 12093376 13073920 15116720 24186752 30233440 48373504 60466880 96747008 120933760 241867520 483735040