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97543644 = 223111922389
BaseRepresentation
bin1011101000001…
…10010111011100
320210112201201120
411310012113130
5144432344034
613402410540
72263051542
oct564062734
9223481646
1097543644
1150073a90
1228800a50
1317293743
14cd51d92
15886bc49
hex5d065dc

97543644 has 144 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 26484480.

The previous prime is 97543643. The next prime is 97543657. The reversal of 97543644 is 44634579.

Its product of digits (362880) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 97543596 and 97543605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97543643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095952 + ... + 1096040.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 297543644 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 97543644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

97543644 is an abundant number, since it is smaller than the sum of its proper divisors (178970916).

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

97543644 is a wasteful number, since it uses less digits than its factorization.

97543644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 97543644 is about 9876.4185816520. The cubic root of 97543644 is about 460.3268691259.

The spelling of 97543644 in words is "ninety-seven million, five hundred forty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 23 33 38 44 46 57 66 69 76 89 92 114 132 138 178 209 228 253 267 276 356 361 418 437 506 534 627 722 759 836 874 979 1012 1068 1083 1254 1311 1444 1518 1691 1748 1958 2047 2166 2508 2622 2937 3036 3382 3916 3971 4094 4332 4807 5073 5244 5874 6141 6764 7942 8188 8303 9614 10146 11748 11913 12282 14421 15884 16606 18601 19228 20292 22517 23826 24564 24909 28842 32129 33212 37202 38893 45034 47652 49818 55803 57684 64258 67551 74404 77786 90068 91333 96387 99636 111606 116679 128516 135102 155572 182666 192774 223212 233358 270204 273999 353419 365332 385548 427823 466716 547998 706838 738967 855646 1060257 1095996 1283469 1413676 1477934 1711292 2120514 2216901 2566938 2955868 4241028 4433802 5133876 8128637 8867604 16257274 24385911 32514548 48771822 97543644