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74040525 = 325213171489
BaseRepresentation
bin1000110100111…
…00010011001101
312011022122111200
410122130103031
5122423244100
611202540113
71556222406
oct432342315
9164278450
1074040525
1138880819
1220967639
1312454980
149b949ad
156777e00
hex469c4cd

74040525 has 72 divisors (see below), whose sum is σ = 151318440. Its totient is φ = 34283520.

The previous prime is 74040517. The next prime is 74040563. The reversal of 74040525 is 52504047.

74040525 = 16752 + 16762 + ... + 17002.

It can be written as a sum of positive squares in 12 ways, for example, as 33246756 + 40793769 = 5766^2 + 6387^2 .

It is not a de Polignac number, because 74040525 - 23 = 74040517 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 48981 + ... + 50469.

It is an arithmetic number, because the mean of its divisors is an integer number (2101645).

Almost surely, 274040525 is an apocalyptic number.

74040525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74040525 is an abundant number, since it is smaller than the sum of its proper divisors (77277915).

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

74040525 is a wasteful number, since it uses less digits than its factorization.

74040525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 74040525 is about 8604.6804124267. The cubic root of 74040525 is about 419.9102699468.

The spelling of 74040525 in words is "seventy-four million, forty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 425 585 663 765 975 1105 1275 1489 1989 2925 3315 3825 4467 5525 7445 9945 13401 16575 19357 22335 25313 37225 49725 58071 67005 75939 96785 111675 126565 174213 227817 290355 329069 335025 379695 483925 632825 871065 987207 1139085 1451775 1645345 1898475 2961621 4355325 4936035 5695425 8226725 14808105 24680175 74040525