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97889148 = 2235714387
BaseRepresentation
bin1011101010110…
…10101101111100
320211012021200000
411311122231330
5200024423043
613414034300
72266021050
oct565325574
9224167600
1097889148
115028a625
1228948990
1317384a96
14d001c60
1588d92d3
hex5d5ab7c

97889148 has 72 divisors (see below), whose sum is σ = 293284992. Its totient is φ = 27966384.

The previous prime is 97889147. The next prime is 97889167. The reversal of 97889148 is 84198879.

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 = 97889094 and 97889103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97889147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390 + ... + 13997.

Almost surely, 297889148 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 97889148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146642496).

97889148 is an abundant number, since it is smaller than the sum of its proper divisors (195395844).

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

97889148 is a wasteful number, since it uses less digits than its factorization.

97889148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413 (or 14399 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 97889148 is about 9893.8944809413. The cubic root of 97889148 is about 460.8697282177.

The spelling of 97889148 in words is "ninety-seven million, eight hundred eighty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 14387 28774 43161 57548 86322 100709 129483 172644 201418 258966 302127 388449 402836 517932 604254 776898 906381 1165347 1208508 1553796 1812762 2330694 2719143 3496041 3625524 4661388 5438286 6992082 8157429 10876572 13984164 16314858 24472287 32629716 48944574 97889148