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97287424 = 2813233141
BaseRepresentation
bin1011100110001…
…11110100000000
320210001201020221
411303013310000
5144401144144
613353112424
72260633543
oct563076400
9223051227
1097287424
114aa09533
12286b8714
1317203c30
14ccc685a
15881ad84
hex5cc7d00

97287424 has 144 divisors (see below), whose sum is σ = 230759424. Its totient is φ = 40550400.

The previous prime is 97287419. The next prime is 97287451. The reversal of 97287424 is 42478279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372844 + ... + 2372884.

It is an arithmetic number, because the mean of its divisors is an integer number (1602496).

Almost surely, 297287424 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 97287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115379712).

97287424 is an abundant number, since it is smaller than the sum of its proper divisors (133472000).

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

97287424 is a wasteful number, since it uses less digits than its factorization.

97287424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 97287424 is about 9863.4387512672. The cubic root of 97287424 is about 459.9234655278.

The spelling of 97287424 in words is "ninety-seven million, two hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 31 32 41 46 52 62 64 82 92 104 124 128 164 184 208 248 256 299 328 368 403 416 496 533 598 656 713 736 806 832 943 992 1066 1196 1271 1312 1426 1472 1612 1664 1886 1984 2132 2392 2542 2624 2852 2944 3224 3328 3772 3968 4264 4784 5084 5248 5704 5888 6448 7544 7936 8528 9269 9568 10168 10496 11408 12259 12896 15088 16523 17056 18538 19136 20336 22816 24518 25792 29233 30176 33046 34112 37076 38272 40672 45632 49036 51584 58466 60352 66092 68224 74152 76544 81344 91264 98072 103168 116932 120704 132184 136448 148304 162688 182528 196144 233864 241408 264368 296608 325376 380029 392288 467728 528736 593216 760058 784576 935456 1057472 1186432 1520116 1569152 1870912 2114944 2372864 3040232 3138304 3741824 4229888 6080464 7483648 12160928 24321856 48643712 97287424