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48676464 = 243423271
BaseRepresentation
bin1011100110101…
…1111001110000
310101121000120000
42321223321300
544430121324
64455150000
71130512614
oct271537160
9111530500
1048676464
1125527391
1214375300
13a113b55
146671344
1544179c9
hex2e6be70

48676464 has 150 divisors (see below), whose sum is σ = 149349816. Its totient is φ = 15301440.

The previous prime is 48676447. The next prime is 48676483. The reversal of 48676464 is 46467684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 685549 + ... + 685619.

Almost surely, 248676464 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 48676464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74674908).

48676464 is an abundant number, since it is smaller than the sum of its proper divisors (100673352).

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

48676464 is a wasteful number, since it uses less digits than its factorization.

48676464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 48676464 is about 6976.8520121900. The cubic root of 48676464 is about 365.1234060732.

The spelling of 48676464 in words is "forty-eight million, six hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 71 72 81 92 108 138 142 144 162 184 207 213 216 276 284 324 368 414 426 432 529 552 568 621 639 648 828 852 1058 1104 1136 1242 1278 1296 1587 1633 1656 1704 1863 1917 2116 2484 2556 3174 3266 3312 3408 3726 3834 4232 4761 4899 4968 5112 5751 6348 6532 7452 7668 8464 9522 9798 9936 10224 11502 12696 13064 14283 14697 14904 15336 19044 19596 23004 25392 26128 28566 29394 29808 30672 37559 38088 39192 42849 44091 46008 57132 58788 75118 76176 78384 85698 88182 92016 112677 114264 117576 132273 150236 171396 176364 225354 228528 235152 264546 300472 338031 342792 352728 450708 529092 600944 676062 685584 705456 901416 1014093 1058184 1352124 1802832 2028186 2116368 2704248 3042279 4056372 5408496 6084558 8112744 12169116 16225488 24338232 48676464