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85441932 = 223317173269
BaseRepresentation
bin1010001011110…
…11110110001100
312221202220022000
411011323312030
5133333120212
612251152300
72055146562
oct505736614
9187686260
1085441932
1144258874
1224745690
1314917374
14b4c1a32
15777b1dc
hex517bd8c

85441932 has 96 divisors (see below), whose sum is σ = 236779200. Its totient is φ = 26551296.

The previous prime is 85441931. The next prime is 85441933. The reversal of 85441932 is 23914458.

It is an interprime number because it is at equal distance from previous prime (85441931) and next prime (85441933).

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

It is not an unprimeable number, because it can be changed into a prime (85441931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317494 + ... + 317762.

It is an arithmetic number, because the mean of its divisors is an integer number (2466450).

Almost surely, 285441932 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 85441932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118389600).

85441932 is an abundant number, since it is smaller than the sum of its proper divisors (151337268).

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

85441932 is a wasteful number, since it uses less digits than its factorization.

85441932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 85441932 is about 9243.4805133132. The cubic root of 85441932 is about 440.4436503149.

The spelling of 85441932 in words is "eighty-five million, four hundred forty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 173 204 269 306 346 459 519 538 612 692 807 918 1038 1076 1557 1614 1836 2076 2421 2941 3114 3228 4573 4671 4842 5882 6228 7263 8823 9146 9342 9684 11764 13719 14526 17646 18292 18684 26469 27438 29052 35292 41157 46537 52938 54876 79407 82314 93074 105876 123471 139611 158814 164628 186148 246942 279222 317628 418833 493884 558444 791129 837666 1256499 1582258 1675332 2373387 2512998 3164516 4746774 5025996 7120161 9493548 14240322 21360483 28480644 42720966 85441932