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97049880 = 23335233907
BaseRepresentation
bin1011100100011…
…01110100011000
320202121122102000
411302031310120
5144321044010
613344041000
72255624154
oct562156430
9222548360
1097049880
114a867014
1228603160
131714ca85
14cc64064
1587c07c0
hex5c8dd18

97049880 has 128 divisors (see below), whose sum is σ = 337651200. Its totient is φ = 24748416.

The previous prime is 97049851. The next prime is 97049881. The reversal of 97049880 is 8894079.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97049881) 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 31 ways as a sum of consecutive naturals, for example, 22887 + ... + 26793.

It is an arithmetic number, because the mean of its divisors is an integer number (2637900).

Almost surely, 297049880 is an apocalyptic number.

97049880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97049880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168825600).

97049880 is an abundant number, since it is smaller than the sum of its proper divisors (240601320).

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

97049880 is a wasteful number, since it uses less digits than its factorization.

97049880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 97049880 is about 9851.3897496749. The cubic root of 97049880 is about 459.5488330034.

The spelling of 97049880 in words is "ninety-seven million, forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 3907 4140 4968 6210 7814 8280 11721 12420 15628 19535 23442 24840 31256 35163 39070 46884 58605 70326 78140 89861 93768 105489 117210 140652 156280 175815 179722 210978 234420 269583 281304 351630 359444 421956 449305 468840 527445 539166 703260 718888 808749 843912 898610 1054890 1078332 1347915 1406520 1617498 1797220 2109780 2156664 2426247 2695830 3234996 3594440 4043745 4219560 4852494 5391660 6469992 8087490 9704988 10783320 12131235 16174980 19409976 24262470 32349960 48524940 97049880