Search a number
-
+
457454120 = 23529394357
BaseRepresentation
bin11011010001000…
…011001000101000
31011212210002002012
4123101003020220
51414102012440
6113220455052
714223203324
oct3321031050
91155702065
10457454120
11215248062
1210924a488
1373a09816
1444a7c984
152a261e65
hex1b443228

457454120 has 32 divisors (see below), whose sum is σ = 1064766600. Its totient is φ = 176671488.

The previous prime is 457454113. The next prime is 457454131. The reversal of 457454120 is 21454754.

It can be written as a sum of positive squares in 4 ways, for example, as 250842244 + 206611876 = 15838^2 + 14374^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196019 + ... + 198338.

Almost surely, 2457454120 is an apocalyptic number.

457454120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457454120 is an abundant number, since it is smaller than the sum of its proper divisors (607312480).

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

457454120 is a wasteful number, since it uses less digits than its factorization.

457454120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394397 (or 394393 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 457454120 is about 21388.1771079258. The cubic root of 457454120 is about 770.5175134631.

The spelling of 457454120 in words is "four hundred fifty-seven million, four hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 394357 788714 1577428 1971785 3154856 3943570 7887140 11436353 15774280 22872706 45745412 57181765 91490824 114363530 228727060 457454120