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875096145 = 3257211109331
BaseRepresentation
bin110100001010001…
…110100001010001
32020222122111020100
4310022032201101
53243011034040
6222500203013
730454123500
oct6412164121
92228574210
10875096145
11409a72760
12205099469
1310c3b7191
1484316837
1551c5cb30
hex3428e851

875096145 has 144 divisors (see below), whose sum is σ = 1948415040. Its totient is φ = 359251200.

The previous prime is 875096099. The next prime is 875096147. The reversal of 875096145 is 541690578.

875096145 is a `hidden beast` number, since 87 + 509 + 61 + 4 + 5 = 666.

It is not a de Polignac number, because 875096145 - 26 = 875096081 is a prime.

It is a super-2 number, since 2×8750961452 = 1531586525987722050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 875096145.

It is not an unprimeable number, because it can be changed into a prime (875096147) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2643630 + ... + 2643960.

It is an arithmetic number, because the mean of its divisors is an integer number (13530660).

Almost surely, 2875096145 is an apocalyptic number.

It is an amenable number.

875096145 is an abundant number, since it is smaller than the sum of its proper divisors (1073318895).

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

875096145 is a wasteful number, since it uses less digits than its factorization.

875096145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 875096145 is about 29582.0240179742. The cubic root of 875096145 is about 956.5006222496.

The spelling of 875096145 in words is "eight hundred seventy-five million, ninety-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 109 147 165 231 245 315 327 331 385 441 495 539 545 693 735 763 981 993 1155 1199 1617 1635 1655 2205 2289 2317 2695 2979 3465 3597 3641 3815 4851 4905 4965 5341 5995 6867 6951 8085 8393 10791 10923 11445 11585 14895 16023 16219 17985 18205 20853 24255 25179 25487 26705 32769 34335 34755 36079 41965 48069 48657 53955 54615 58751 75537 76461 80115 81095 104265 108237 125895 127435 145971 163845 176253 178409 180395 229383 240345 243285 252553 293755 324711 377685 382305 396869 528759 535227 541185 729855 757659 881265 892045 1146915 1190607 1262765 1605681 1623555 1767871 1984345 2272977 2643795 2676135 2778083 3571821 3788295 5303613 5953035 8028405 8334249 8839355 11364885 13890415 15910839 17859105 19446581 25002747 26518065 41671245 58339743 79554195 97232905 125013735 175019229 291698715 875096145