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75861940 = 22571149261
BaseRepresentation
bin1001000010110…
…00111110110100
312021202012000111
410201120332310
5123410040230
611305552404
71610546560
oct441307664
9167665014
1075861940
1139905220
12214a5704
1312941a2b
14a10a6a0
1569d792a
hex4858fb4

75861940 has 48 divisors (see below), whose sum is σ = 198624384. Its totient is φ = 23644800.

The previous prime is 75861937. The next prime is 75861943. The reversal of 75861940 is 4916857.

It is an interprime number because it is at equal distance from previous prime (75861937) and next prime (75861943).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75861893 and 75861902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75861943) 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 15 ways as a sum of consecutive naturals, for example, 23091 + ... + 26170.

It is an arithmetic number, because the mean of its divisors is an integer number (4138008).

Almost surely, 275861940 is an apocalyptic number.

75861940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75861940 is an abundant number, since it is smaller than the sum of its proper divisors (122762444).

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

75861940 is a wasteful number, since it uses less digits than its factorization.

75861940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49288 (or 49286 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 75861940 is about 8709.8760037098. The cubic root of 75861940 is about 423.3257126920.

The spelling of 75861940 in words is "seventy-five million, eight hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 49261 98522 197044 246305 344827 492610 541871 689654 985220 1083742 1379308 1724135 2167484 2709355 3448270 3793097 5418710 6896540 7586194 10837420 15172388 18965485 37930970 75861940