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97673088 = 2732311059
BaseRepresentation
bin1011101001001…
…01111110000000
320210210022021210
411310211332000
5200001014323
613405250120
72264131122
oct564457600
9223708253
1097673088
1150152267
1228863940
131730a636
14cd87212
158895293
hex5d25f80

97673088 has 64 divisors (see below), whose sum is σ = 270748800. Its totient is φ = 31139328.

The previous prime is 97673087. The next prime is 97673101. The reversal of 97673088 is 88037679.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97673087) 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 7 ways as a sum of consecutive naturals, for example, 3303 + ... + 14361.

It is an arithmetic number, because the mean of its divisors is an integer number (4230450).

Almost surely, 297673088 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 97673088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135374400).

97673088 is an abundant number, since it is smaller than the sum of its proper divisors (173075712).

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

97673088 is a wasteful number, since it uses less digits than its factorization.

97673088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 97673088 is about 9882.9695942060. The cubic root of 97673088 is about 460.5304026773.

The spelling of 97673088 in words is "ninety-seven million, six hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 11059 22118 33177 44236 66354 88472 132708 176944 254357 265416 353888 508714 530832 707776 763071 1017428 1061664 1415552 1526142 2034856 2123328 3052284 4069712 4246656 6104568 8139424 12209136 16278848 24418272 32557696 48836544 97673088