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48975360 = 29357911
BaseRepresentation
bin1011101011010…
…0111000000000
310102011012120020
42322310320000
5100014202420
64505413440
71133166210
oct272647000
9112135506
1048975360
1125710a05
121449a280
13a1b9c05
14670c240
154476340
hex2eb4e00

48975360 has 160 divisors (see below), whose sum is σ = 179131392. Its totient is φ = 11182080.

The previous prime is 48975341. The next prime is 48975373. The reversal of 48975360 is 6357984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53305 + ... + 54215.

Almost surely, 248975360 is an apocalyptic number.

48975360 is a gapful number since it is divisible by the number (40) 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 48975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89565696).

48975360 is an abundant number, since it is smaller than the sum of its proper divisors (130156032).

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

48975360 is an equidigital number, since it uses as much as digits as its factorization.

48975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 48975360 is about 6998.2397786872. The cubic root of 48975360 is about 365.8692237844.

The spelling of 48975360 in words is "forty-eight million, nine hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 911 960 1120 1280 1344 1536 1680 1792 1822 1920 2240 2560 2688 2733 3360 3584 3644 3840 4480 4555 5376 5466 6377 6720 7288 7680 8960 9110 10752 10932 12754 13440 13665 14576 17920 18220 19131 21864 25508 26880 27330 29152 31885 36440 38262 43728 51016 53760 54660 58304 63770 72880 76524 87456 95655 102032 109320 116608 127540 145760 153048 174912 191310 204064 218640 233216 255080 291520 306096 349824 382620 408128 437280 466432 510160 583040 612192 699648 765240 816256 874560 1020320 1166080 1224384 1399296 1530480 1632512 1749120 2040640 2332160 2448768 3060960 3265024 3498240 4081280 4897536 6121920 6996480 8162560 9795072 12243840 16325120 24487680 48975360