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48435397472 = 2571153370891
BaseRepresentation
bin101101000110111110…
…011000001101100000
311122000112202010110002
4231012332120031200
51243143430204342
634130110355132
73333163041230
oct550676301540
9148015663402
1048435397472
11195a5579010
129478abbaa8
13474b87b907
1424b6a11cc0
1513d7338d32
hexb46f98360

48435397472 has 96 divisors (see below), whose sum is σ = 121130360064. Its totient is φ = 18514828800.

The previous prime is 48435397429. The next prime is 48435397477. The reversal of 48435397472 is 27479353484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48435397477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54854 + ... + 316037.

It is an arithmetic number, because the mean of its divisors is an integer number (1261774584).

Almost surely, 248435397472 is an apocalyptic number.

It is an amenable number.

48435397472 is an abundant number, since it is smaller than the sum of its proper divisors (72694962592).

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

48435397472 is a wasteful number, since it uses less digits than its factorization.

48435397472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370972 (or 370964 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 56.

The spelling of 48435397472 in words is "forty-eight billion, four hundred thirty-five million, three hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 77 88 106 112 154 176 212 224 308 352 371 424 583 616 742 848 1166 1232 1484 1696 2332 2464 2968 4081 4664 5936 8162 9328 11872 16324 18656 32648 65296 130592 370891 741782 1483564 2596237 2967128 4079801 5192474 5934256 8159602 10384948 11868512 16319204 19657223 20769896 28558607 32638408 39314446 41539792 57117214 65276816 78628892 83079584 114234428 130553632 137600561 157257784 216229453 228468856 275201122 314515568 432458906 456937712 550402244 629031136 864917812 913875424 1100804488 1513606171 1729835624 2201608976 3027212342 3459671248 4403217952 6054424684 6919342496 12108849368 24217698736 48435397472