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1042434225 = 33527415381
BaseRepresentation
bin111110001000100…
…100100010110001
32200122112010221000
4332020210202301
54113330343400
6251234552213
734555354560
oct7610444261
92618463830
101042434225
11495477298
12251138669
13137c769b1
149c635bd7
15617b4600
hex3e2248b1

1042434225 has 96 divisors (see below), whose sum is σ = 2242356480. Its totient is φ = 464832000.

The previous prime is 1042434223. The next prime is 1042434257. The reversal of 1042434225 is 5224342401.

1042434225 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 434 + 225 = 666.

It is not a de Polignac number, because 1042434225 - 21 = 1042434223 is a prime.

It is a super-2 number, since 2×10424342252 = 2173338226902701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1042434223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191035 + ... + 196415.

It is an arithmetic number, because the mean of its divisors is an integer number (23357880).

Almost surely, 21042434225 is an apocalyptic number.

1042434225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1042434225 is an abundant number, since it is smaller than the sum of its proper divisors (1199922255).

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

1042434225 is a wasteful number, since it uses less digits than its factorization.

1042434225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1042434225 is about 32286.7499912890. The cubic root of 1042434225 is about 1013.9492551896.

Adding to 1042434225 its reverse (5224342401), we get a palindrome (6266776626).

The spelling of 1042434225 in words is "one billion, forty-two million, four hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 41 45 63 75 105 123 135 175 189 205 225 287 315 369 525 615 675 861 945 1025 1107 1435 1575 1845 2583 3075 4305 4725 5381 5535 7175 7749 9225 12915 16143 21525 26905 27675 37667 38745 48429 64575 80715 113001 134525 145287 188335 193725 220621 242145 339003 403575 565005 661863 726435 941675 1017009 1103105 1210725 1544347 1695015 1985589 2825025 3309315 3632175 4633041 5085045 5515525 5956767 7721735 8475075 9927945 13899123 16546575 23165205 25425225 29783835 38608675 41697369 49639725 69495615 115826025 148919175 208486845 347478075 1042434225