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75495240 = 23375863
BaseRepresentation
bin1000111111111…
…11011101001000
312021001120000000
410133333131020
5123311321430
611254043000
71604461512
oct437773510
9167046000
1075495240
1139684767
1221349460
1312843b52
14a052bb2
156963e60
hex47ff748

75495240 has 128 divisors (see below), whose sum is σ = 255052800. Its totient is φ = 20108736.

The previous prime is 75495239. The next prime is 75495263. The reversal of 75495240 is 4259457.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75495195 and 75495204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87049 + ... + 87911.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 275495240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75495240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127526400).

75495240 is an abundant number, since it is smaller than the sum of its proper divisors (179557560).

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

75495240 is an equidigital number, since it uses as much as digits as its factorization.

75495240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75495240 is about 8688.7996869533. The cubic root of 75495240 is about 422.6425227888.

The spelling of 75495240 in words is "seventy-five million, four hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 863 972 1080 1215 1458 1620 1726 1944 2187 2430 2589 2916 3240 3452 3645 4315 4374 4860 5178 5832 6904 7290 7767 8630 8748 9720 10356 10935 12945 14580 15534 17260 17496 20712 21870 23301 25890 29160 31068 34520 38835 43740 46602 51780 62136 69903 77670 87480 93204 103560 116505 139806 155340 186408 209709 233010 279612 310680 349515 419418 466020 559224 629127 699030 838836 932040 1048545 1258254 1398060 1677672 1887381 2097090 2516508 2796120 3145635 3774762 4194180 5033016 6291270 7549524 8388360 9436905 12582540 15099048 18873810 25165080 37747620 75495240