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48320976 = 24311232173
BaseRepresentation
bin1011100001010…
…1000111010000
310100220221220210
42320111013100
544332232401
64443404120
71124502324
oct270250720
9110827823
1048320976
11253042a0
1214223640
13a01b0c2
1465bb984
1543974d6
hex2e151d0

48320976 has 120 divisors (see below), whose sum is σ = 143178336. Its totient is φ = 13925120.

The previous prime is 48320959. The next prime is 48320977. The reversal of 48320976 is 67902384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48320977) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 279226 + ... + 279398.

Almost surely, 248320976 is an apocalyptic number.

48320976 is a gapful number since it is divisible by the number (46) 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 48320976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71589168).

48320976 is an abundant number, since it is smaller than the sum of its proper divisors (94857360).

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

48320976 is a wasteful number, since it uses less digits than its factorization.

48320976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 48320976 is about 6951.3290815498. The cubic root of 48320976 is about 364.2323919537.

The spelling of 48320976 in words is "forty-eight million, three hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 173 176 184 253 264 276 346 368 506 519 528 529 552 692 759 1012 1038 1058 1104 1384 1518 1587 1903 2024 2076 2116 2768 3036 3174 3806 3979 4048 4152 4232 5709 5819 6072 6348 7612 7958 8304 8464 11418 11638 11937 12144 12696 15224 15916 17457 22836 23276 23874 25392 30448 31832 34914 43769 45672 46552 47748 63664 69828 87538 91344 91517 93104 95496 131307 139656 175076 183034 190992 262614 274551 279312 350152 366068 525228 549102 700304 732136 1006687 1050456 1098204 1464272 2013374 2100912 2196408 3020061 4026748 4392816 6040122 8053496 12080244 16106992 24160488 48320976