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48926976 = 283719479
BaseRepresentation
bin1011101010100…
…1000100000000
310102001202012020
42322221010000
5100011130401
64504401440
71132605150
oct272510400
9112052166
1048926976
112568861a
1214476280
13a1a0b97
1466d8760
154466d36
hex2ea9100

48926976 has 144 divisors (see below), whose sum is σ = 156979200. Its totient is φ = 13215744.

The previous prime is 48926963. The next prime is 48927001. The reversal of 48926976 is 67962984.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101905 + ... + 102383.

Almost surely, 248926976 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 48926976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78489600).

48926976 is an abundant number, since it is smaller than the sum of its proper divisors (108052224).

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

48926976 is a wasteful number, since it uses less digits than its factorization.

48926976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 48926976 is about 6994.7820552180. The cubic root of 48926976 is about 365.7487002584.

The spelling of 48926976 in words is "forty-eight million, nine hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 479 532 608 672 768 798 896 912 958 1064 1216 1344 1437 1596 1792 1824 1916 2128 2432 2688 2874 3192 3353 3648 3832 4256 4864 5376 5748 6384 6706 7296 7664 8512 9101 10059 11496 12768 13412 14592 15328 17024 18202 20118 22992 25536 26824 27303 30656 34048 36404 40236 45984 51072 53648 54606 61312 63707 72808 80472 91968 102144 107296 109212 122624 127414 145616 160944 183936 191121 214592 218424 254828 291232 321888 367872 382242 429184 436848 509656 582464 643776 764484 858368 873696 1019312 1164928 1287552 1528968 1747392 2038624 2329856 2575104 3057936 3494784 4077248 6115872 6989568 8154496 12231744 16308992 24463488 48926976