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48212976 = 2437434771
BaseRepresentation
bin1011011111101…
…0101111110000
310100201110202210
42313322233300
544320303401
64441212120
71123542420
oct267725760
9110643683
1048212976
1125240139
1214191040
139cb0bb6
146590480
1543754d6
hex2dfabf0

48212976 has 160 divisors (see below), whose sum is σ = 150847488. Its totient is φ = 12983040.

The previous prime is 48212963. The next prime is 48212981. The reversal of 48212976 is 67921284.

48212976 = T293 + T294 + ... + T679.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 679021 + ... + 679091.

Almost surely, 248212976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48212976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

48212976 is an abundant number, since it is smaller than the sum of its proper divisors (102634512).

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

48212976 is a wasteful number, since it uses less digits than its factorization.

48212976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 48212976 is about 6943.5564374462. The cubic root of 48212976 is about 363.9608298228.

The spelling of 48212976 in words is "forty-eight million, two hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 47 48 56 71 84 86 94 112 129 141 142 168 172 188 213 258 282 284 301 329 336 344 376 426 497 516 564 568 602 658 688 752 852 903 987 994 1032 1128 1136 1204 1316 1491 1704 1806 1974 1988 2021 2064 2256 2408 2632 2982 3053 3337 3408 3612 3948 3976 4042 4816 5264 5964 6063 6106 6674 7224 7896 7952 8084 9159 10011 11928 12126 12212 13348 14147 14448 15792 16168 18318 20022 21371 23359 23856 24252 24424 26696 28294 32336 36636 40044 42441 42742 46718 48504 48848 53392 56588 64113 70077 73272 80088 84882 85484 93436 97008 113176 128226 140154 143491 146544 160176 169764 170968 186872 226352 256452 280308 286982 339528 341936 373744 430473 512904 560616 573964 679056 860946 1004437 1025808 1121232 1147928 1721892 2008874 2295856 3013311 3443784 4017748 6026622 6887568 8035496 12053244 16070992 24106488 48212976