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75850656 = 2537412753
BaseRepresentation
bin1001000010101…
…10001110100000
312021201121112120
410201112032200
5123404210111
611305424240
71610501640
oct441261640
9167647476
1075850656
11398a77a2
122149b080
131293985b
14a106520
1569d4406
hex48563a0

75850656 has 96 divisors (see below), whose sum is σ = 233186688. Its totient is φ = 21135360.

The previous prime is 75850637. The next prime is 75850681. The reversal of 75850656 is 65605857.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26176 + ... + 28928.

It is an arithmetic number, because the mean of its divisors is an integer number (2429028).

Almost surely, 275850656 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 75850656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116593344).

75850656 is an abundant number, since it is smaller than the sum of its proper divisors (157336032).

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

75850656 is a wasteful number, since it uses less digits than its factorization.

75850656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 75850656 is about 8709.2282092043. The cubic root of 75850656 is about 423.3047226136.

The spelling of 75850656 in words is "seventy-five million, eight hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 2753 3444 3936 4592 5506 6888 8259 9184 11012 13776 16518 19271 22024 27552 33036 38542 44048 57813 66072 77084 88096 112873 115626 132144 154168 225746 231252 264288 308336 338619 451492 462504 616672 677238 790111 902984 925008 1354476 1580222 1805968 1850016 2370333 2708952 3160444 3611936 4740666 5417904 6320888 9481332 10835808 12641776 18962664 25283552 37925328 75850656