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48785616 = 243211191621
BaseRepresentation
bin1011101000011…
…0100011010000
310101210120021200
42322012203100
544442114431
64501351200
71131446055
oct272064320
9111716250
1048785616
11255a13a0
1214408500
13a151739
14669d02c
154439ee6
hex2e868d0

48785616 has 120 divisors (see below), whose sum is σ = 156879840. Its totient is φ = 13996800.

The previous prime is 48785593. The next prime is 48785651. The reversal of 48785616 is 61658784.

It is a happy number.

48785616 is a `hidden beast` number, since 4 + 87 + 8 + 561 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29286 + ... + 30906.

It is an arithmetic number, because the mean of its divisors is an integer number (1307332).

Almost surely, 248785616 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 48785616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78439920).

48785616 is an abundant number, since it is smaller than the sum of its proper divisors (108094224).

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

48785616 is a wasteful number, since it uses less digits than its factorization.

48785616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1656 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 48785616 is about 6984.6700709482. The cubic root of 48785616 is about 365.3961196486.

The spelling of 48785616 in words is "forty-eight million, seven hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1621 1672 1881 2508 2736 3242 3344 3762 4863 5016 6484 7524 9726 10032 12968 14589 15048 17831 19452 25936 29178 30096 30799 35662 38904 53493 58356 61598 71324 77808 92397 106986 116712 123196 142648 160479 184794 213972 233424 246392 277191 285296 320958 338789 369588 427944 492784 554382 641916 677578 739176 855888 1016367 1108764 1283832 1355156 1478352 2032734 2217528 2567664 2710312 3049101 4065468 4435056 5420624 6098202 8130936 12196404 16261872 24392808 48785616