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97669248 = 273534799
BaseRepresentation
bin1011101001001…
…01000010000000
320210210010000120
411310211002000
5200000403443
613405220240
72264113665
oct564450200
9223703016
1097669248
115014a396
1228861680
1317308971
14cd85a6c
158894083
hex5d25080

97669248 has 64 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 31935488.

The previous prime is 97669241. The next prime is 97669259. The reversal of 97669248 is 84296679.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97669248.

It is not an unprimeable number, because it can be changed into a prime (97669241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17953 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 297669248 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 97669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

97669248 is an abundant number, since it is smaller than the sum of its proper divisors (166714752).

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

97669248 is a wasteful number, since it uses less digits than its factorization.

97669248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4857 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 97669248 is about 9882.7753187048. The cubic root of 97669248 is about 460.5243673747.

The spelling of 97669248 in words is "ninety-seven million, six hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 4799 5088 6784 9598 10176 14397 19196 20352 28794 38392 57588 76784 115176 153568 230352 254347 307136 460704 508694 614272 763041 921408 1017388 1526082 1842816 2034776 3052164 4069552 6104328 8139104 12208656 16278208 24417312 32556416 48834624 97669248