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48046656 = 263725107
BaseRepresentation
bin1011011101001…
…0001001000000
310100102000121210
42313102021000
544244443111
64433450120
71122250500
oct267221100
9110360553
1048046656
1125137189
1214110940
139c53298
146549a00
1543410a6
hex2dd2240

48046656 has 84 divisors (see below), whose sum is σ = 147907248. Its totient is φ = 13724928.

The previous prime is 48046651. The next prime is 48046657. The reversal of 48046656 is 65664084.

Added to its reverse (65664084) it gives a triangular number (113710740 = T15080).

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (48046651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6855 + ... + 11961.

Almost surely, 248046656 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 48046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73953624).

48046656 is an abundant number, since it is smaller than the sum of its proper divisors (99860592).

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

48046656 is a wasteful number, since it uses less digits than its factorization.

48046656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 48046656 is about 6931.5695192359. The cubic root of 48046656 is about 363.5418298506.

Adding to 48046656 its reverse (65664084), we get a triangular number (113710740 = T15080).

The spelling of 48046656 in words is "forty-eight million, forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 5107 9408 10214 15321 20428 30642 35749 40856 61284 71498 81712 107247 122568 142996 163424 214494 245136 250243 285992 326848 428988 490272 500486 571984 750729 857976 980544 1000972 1143968 1501458 1715952 2001944 2287936 3002916 3431904 4003888 6005832 6863808 8007776 12011664 16015552 24023328 48046656