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97496280 = 23325725527
BaseRepresentation
bin1011100111110…
…10110011011000
320210110022202100
411303322303120
5144424340110
613401403400
72262463500
oct563726330
9223408670
1097496280
1150041442
1228799560
131727800b
14cd3ca00
15885cbc0
hex5cfacd8

97496280 has 144 divisors (see below), whose sum is σ = 368662320. Its totient is φ = 22280832.

The previous prime is 97496279. The next prime is 97496297. The reversal of 97496280 is 8269479.

It is a happy number.

It is a super-2 number, since 2×974962802 = 19011049227676800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14877 + ... + 20403.

It is an arithmetic number, because the mean of its divisors is an integer number (2560155).

Almost surely, 297496280 is an apocalyptic number.

97496280 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 97496280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184331160).

97496280 is an abundant number, since it is smaller than the sum of its proper divisors (271166040).

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

97496280 is a wasteful number, since it uses less digits than its factorization.

97496280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97496280 is about 9874.0204577467. The cubic root of 97496280 is about 460.2523505111.

The spelling of 97496280 in words is "ninety-seven million, four hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5527 5880 8820 11054 16581 17640 22108 27635 33162 38689 44216 49743 55270 66324 77378 82905 99486 110540 116067 132648 154756 165810 193445 198972 221080 232134 248715 270823 309512 331620 348201 386890 397944 464268 497430 541646 580335 663240 696402 773780 812469 928536 994860 1083292 1160670 1354115 1392804 1547560 1624938 1741005 1989720 2166584 2321340 2437407 2708230 2785608 3249876 3482010 4062345 4642680 4874814 5416460 6499752 6964020 8124690 9749628 10832920 12187035 13928040 16249380 19499256 24374070 32498760 48748140 97496280