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48835116 = 223311237101
BaseRepresentation
bin1011101001001…
…0101000101100
310101220002012000
42322102220230
5100000210431
64502412300
71132043301
oct272225054
9111802160
1048835116
1125625600
1214431090
13a16b125
1466b30a8
1544499e6
hex2e92a2c

48835116 has 144 divisors (see below), whose sum is σ = 144342240. Its totient is φ = 14256000.

The previous prime is 48835099. The next prime is 48835133. The reversal of 48835116 is 61153884.

It is an interprime number because it is at equal distance from previous prime (48835099) and next prime (48835133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483466 + ... + 483566.

Almost surely, 248835116 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 48835116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72171120).

48835116 is an abundant number, since it is smaller than the sum of its proper divisors (95507124).

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

48835116 is a wasteful number, since it uses less digits than its factorization.

48835116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 48835116 is about 6988.2126470221. The cubic root of 48835116 is about 365.5196601203.

48835116 divided by its sum of digits (36) gives a palindrome (1356531).

It can be divided in two parts, 4883 and 5116, that added together give a palindrome (9999).

The spelling of 48835116 in words is "forty-eight million, eight hundred thirty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 101 108 111 121 132 148 198 202 222 242 297 303 333 363 396 404 407 444 484 594 606 666 726 814 909 999 1089 1111 1188 1212 1221 1332 1452 1628 1818 1998 2178 2222 2442 2727 3267 3333 3636 3663 3737 3996 4356 4444 4477 4884 5454 6534 6666 7326 7474 8954 9999 10908 10989 11211 12221 13068 13332 13431 14652 14948 17908 19998 21978 22422 24442 26862 29997 33633 36663 39996 40293 41107 43956 44844 48884 53724 59994 67266 73326 80586 82214 100899 109989 119988 120879 123321 134532 146652 161172 164428 201798 219978 241758 246642 329967 369963 403596 439956 452177 483516 493284 659934 739926 904354 1109889 1319868 1356531 1479852 1808708 2219778 2713062 4069593 4439556 5426124 8139186 12208779 16278372 24417558 48835116