Search a number
-
+
48716976 = 2437311269
BaseRepresentation
bin1011100111010…
…1110010110000
310101200002010110
42321311302300
544432420401
64500101320
71131042000
oct271656260
9111602113
1048716976
1125554870
1214394840
13a129419
146682000
1544249d6
hex2e75cb0

48716976 has 160 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 12606720.

The previous prime is 48716971. The next prime is 48716977. The reversal of 48716976 is 67961784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48716971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180970 + ... + 181238.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 248716976 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 48716976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

48716976 is an abundant number, since it is smaller than the sum of its proper divisors (111987024).

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

48716976 is a wasteful number, since it uses less digits than its factorization.

48716976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 48716976 is about 6979.7547234842. The cubic root of 48716976 is about 365.2246718355.

The spelling of 48716976 in words is "forty-eight million, seven hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 269 294 308 336 343 392 462 528 538 539 588 616 686 784 807 924 1029 1076 1078 1176 1232 1372 1614 1617 1848 1883 2058 2152 2156 2352 2744 2959 3228 3234 3696 3766 3773 4116 4304 4312 5488 5649 5918 6456 6468 7532 7546 8232 8624 8877 11298 11319 11836 12912 12936 13181 15064 15092 16464 17754 20713 22596 22638 23672 25872 26362 30128 30184 35508 39543 41426 45192 45276 47344 52724 60368 62139 71016 79086 82852 90384 90552 92267 105448 124278 142032 144991 158172 165704 181104 184534 210896 248556 276801 289982 316344 331408 369068 434973 497112 553602 579964 632688 738136 869946 994224 1014937 1107204 1159928 1476272 1739892 2029874 2214408 2319856 3044811 3479784 4059748 4428816 6089622 6959568 8119496 12179244 16238992 24358488 48716976