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199431456 = 2537296773
BaseRepresentation
bin10111110001100…
…01010100100000
3111220021011112020
423320301110200
5402023301311
631442301440
74641065550
oct1370612440
9456234466
10199431456
11a2634894
1256957880
13324185a3
141c6b5160
1512795c06
hexbe31520

199431456 has 48 divisors (see below), whose sum is σ = 598296384. Its totient is φ = 56980224.

The previous prime is 199431433. The next prime is 199431461. The reversal of 199431456 is 654134991.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 147715 + ... + 149058.

It is an arithmetic number, because the mean of its divisors is an integer number (12464508).

Almost surely, 2199431456 is an apocalyptic number.

199431456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199431456 is an abundant number, since it is smaller than the sum of its proper divisors (398864928).

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

199431456 is a wasteful number, since it uses less digits than its factorization.

199431456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296793 (or 296785 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 199431456 is about 14122.0202520744. The cubic root of 199431456 is about 584.2488774724.

The spelling of 199431456 in words is "one hundred ninety-nine million, four hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 296773 593546 890319 1187092 1780638 2077411 2374184 3561276 4154822 4748368 6232233 7122552 8309644 9496736 12464466 14245104 16619288 24928932 28490208 33238576 49857864 66477152 99715728 199431456