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89725116 = 2231317231471
BaseRepresentation
bin1010101100100…
…01100010111100
320020211111201110
411112101202330
5140432200431
612523042020
72136436155
oct526214274
9206744643
1089725116
1146713898
1226070310
1315786ab0
14bcb892c
157d25346
hex55918bc

89725116 has 96 divisors (see below), whose sum is σ = 249274368. Its totient is φ = 24837120.

The previous prime is 89725091. The next prime is 89725117. The reversal of 89725116 is 61152798.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89725117) 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 31 ways as a sum of consecutive naturals, for example, 60261 + ... + 61731.

It is an arithmetic number, because the mean of its divisors is an integer number (2596608).

Almost surely, 289725116 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 89725116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124637184).

89725116 is an abundant number, since it is smaller than the sum of its proper divisors (159549252).

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

89725116 is a wasteful number, since it uses less digits than its factorization.

89725116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 89725116 is about 9472.3342424135. The cubic root of 89725116 is about 447.6837625282.

The spelling of 89725116 in words is "eighty-nine million, seven hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 391 442 598 663 782 884 897 1173 1196 1326 1471 1564 1794 2346 2652 2942 3588 4413 4692 5083 5884 8826 10166 15249 17652 19123 20332 25007 30498 33833 38246 50014 57369 60996 67666 75021 76492 100028 101499 114738 135332 150042 202998 229476 300084 325091 405996 439829 575161 650182 879658 975273 1150322 1300364 1319487 1725483 1759316 1950546 2300644 2638974 3450966 3901092 5277948 6901932 7477093 14954186 22431279 29908372 44862558 89725116