Search a number
-
+
470000832 = 26371492347
BaseRepresentation
bin11100000000111…
…010010011000000
31012202101111221020
4130000322103000
51430310011312
6114345425440
714434640550
oct3400722300
91182344836
10470000832
11221337644
1211149b280
13764b0602
14465c7160
152b3de78c
hex1c03a4c0

470000832 has 112 divisors (see below), whose sum is σ = 1431340800. Its totient is φ = 133327872.

The previous prime is 470000803. The next prime is 470000933. The reversal of 470000832 is 238000074.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199083 + ... + 201429.

Almost surely, 2470000832 is an apocalyptic number.

470000832 is a gapful number since it is divisible by the number (42) 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 470000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715670400).

470000832 is an abundant number, since it is smaller than the sum of its proper divisors (961339968).

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

470000832 is a wasteful number, since it uses less digits than its factorization.

470000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 470000832 is about 21679.5025773194. The cubic root of 470000832 is about 777.4984685130.

The spelling of 470000832 in words is "four hundred seventy million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 149 168 192 224 298 336 447 448 596 672 894 1043 1192 1344 1788 2086 2347 2384 3129 3576 4172 4694 4768 6258 7041 7152 8344 9388 9536 12516 14082 14304 16429 16688 18776 25032 28164 28608 32858 33376 37552 49287 50064 56328 65716 66752 75104 98574 100128 112656 131432 150208 197148 200256 225312 262864 349703 394296 450624 525728 699406 788592 1049109 1051456 1398812 1577184 2098218 2447921 2797624 3154368 4196436 4895842 5595248 7343763 8392872 9791684 11190496 14687526 16785744 19583368 22380992 29375052 33571488 39166736 58750104 67142976 78333472 117500208 156666944 235000416 470000832