Search a number
-
+
99901648 = 24711131619
BaseRepresentation
bin1011111010001…
…10000011010000
320221222112022001
411331012003100
5201033323043
613525123344
72322102310
oct575060320
9227875261
1099901648
1151434650
1229559554
131790ab02
14d3a7440
158b8574d
hex5f460d0

99901648 has 80 divisors (see below), whose sum is σ = 243555840. Its totient is φ = 38563200.

The previous prime is 99901621. The next prime is 99901651. The reversal of 99901648 is 84610999.

It is a junction number, because it is equal to n+sod(n) for n = 99901598 and 99901607.

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, 161083 + ... + 161701.

It is an arithmetic number, because the mean of its divisors is an integer number (3044448).

Almost surely, 299901648 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 99901648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121777920).

99901648 is an abundant number, since it is smaller than the sum of its proper divisors (143654192).

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

99901648 is a wasteful number, since it uses less digits than its factorization.

99901648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 99901648 is about 9995.0811902655. The cubic root of 99901648 is about 464.0066635983.

The spelling of 99901648 in words is "ninety-nine million, nine hundred one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 131 154 176 262 308 524 616 619 917 1048 1232 1238 1441 1834 2096 2476 2882 3668 4333 4952 5764 6809 7336 8666 9904 10087 11528 13618 14672 17332 20174 23056 27236 34664 40348 47663 54472 69328 80696 81089 95326 108944 161392 162178 190652 324356 381304 567623 648712 762608 891979 1135246 1297424 1783958 2270492 3567916 4540984 6243853 7135832 9081968 12487706 14271664 24975412 49950824 99901648