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89697348 = 223313292203
BaseRepresentation
bin1010101100010…
…10110001000100
320020210002122000
411112022301010
5140430303343
612522305300
72136262206
oct526126104
9206702560
1089697348
11466a4a44
1226058230
1315777270
14bcac776
157d1bed3
hex558ac44

89697348 has 96 divisors (see below), whose sum is σ = 259190400. Its totient is φ = 26635392.

The previous prime is 89697337. The next prime is 89697367. The reversal of 89697348 is 84379698.

It is a super-2 number, since 2×896973482 = 16091228476466208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89697294 and 89697303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39615 + ... + 41817.

It is an arithmetic number, because the mean of its divisors is an integer number (2699900).

Almost surely, 289697348 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 89697348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129595200).

89697348 is an abundant number, since it is smaller than the sum of its proper divisors (169493052).

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

89697348 is a wasteful number, since it uses less digits than its factorization.

89697348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2250 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 89697348 is about 9470.8683867954. The cubic root of 89697348 is about 447.6375749206.

The spelling of 89697348 in words is "eighty-nine million, six hundred ninety-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 87 108 116 117 156 174 234 261 348 351 377 468 522 702 754 783 1044 1131 1404 1508 1566 2203 2262 3132 3393 4406 4524 6609 6786 8812 10179 13218 13572 19827 20358 26436 28639 39654 40716 57278 59481 63887 79308 85917 114556 118962 127774 171834 191661 237924 255548 257751 343668 383322 515502 574983 766644 773253 830531 1031004 1149966 1546506 1661062 1724949 2299932 2491593 3093012 3322124 3449898 4983186 6899796 7474779 9966372 14949558 22424337 29899116 44848674 89697348