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75631725 = 345213317
BaseRepresentation
bin1001000001000…
…00110001101101
312021022111020000
410200200301231
5123330203400
611301014513
71605600441
oct440406155
9167274200
1075631725
1139768264
12213b4439
1312891000
14a08a821
15698e600
hex4820c6d

75631725 has 120 divisors (see below), whose sum is σ = 160692840. Its totient is φ = 35043840.

The previous prime is 75631709. The next prime is 75631733. The reversal of 75631725 is 52713657.

It can be written as a sum of positive squares in 12 ways, for example, as 72488196 + 3143529 = 8514^2 + 1773^2 .

It is not a de Polignac number, because 75631725 - 24 = 75631709 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75631725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4448917 + ... + 4448933.

It is an arithmetic number, because the mean of its divisors is an integer number (1339107).

Almost surely, 275631725 is an apocalyptic number.

75631725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75631725 is an abundant number, since it is smaller than the sum of its proper divisors (85061115).

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

75631725 is a wasteful number, since it uses less digits than its factorization.

75631725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 75631725 is about 8696.6502171813. The cubic root of 75631725 is about 422.8970626238.

The spelling of 75631725 in words is "seventy-five million, six hundred thirty-one thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 117 135 153 169 195 221 225 255 325 351 405 425 459 507 585 663 675 765 845 975 1053 1105 1275 1377 1521 1755 1989 2025 2197 2295 2535 2873 2925 3315 3825 4225 4563 5265 5525 5967 6591 6885 7605 8619 8775 9945 10985 11475 12675 13689 14365 16575 17901 19773 22815 25857 26325 29835 32955 34425 37349 38025 43095 49725 54925 59319 68445 71825 77571 89505 98865 112047 114075 129285 149175 164775 177957 186745 215475 232713 296595 336141 342225 387855 447525 494325 560235 646425 889785 933725 1008423 1163565 1482975 1680705 1939275 2801175 3025269 4448925 5042115 5817825 8403525 15126345 25210575 75631725