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4897152 = 273313109
BaseRepresentation
bin10010101011100110000000
3100012210122000
4102223212000
52223202102
6252544000
756424261
oct22534600
910183560
104897152
112845337
121782000
131026030
14916968
1566b01c
hex4ab980

4897152 has 128 divisors (see below), whose sum is σ = 15708000. Its totient is φ = 1492992.

The previous prime is 4897103. The next prime is 4897153. The reversal of 4897152 is 2517984.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×48971523 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4897153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44874 + ... + 44982.

Almost surely, 24897152 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 4897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854000).

4897152 is an abundant number, since it is smaller than the sum of its proper divisors (10810848).

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

4897152 is a wasteful number, since it uses less digits than its factorization.

4897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4897152 is about 2212.9509709887. The cubic root of 4897152 is about 169.8170118680.

The spelling of 4897152 in words is "four million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 109 117 128 144 156 192 208 216 218 234 288 312 327 351 384 416 432 436 468 576 624 654 702 832 864 872 936 981 1152 1248 1308 1404 1417 1664 1728 1744 1872 1962 2496 2616 2808 2834 2943 3456 3488 3744 3924 4251 4992 5232 5616 5668 5886 6976 7488 7848 8502 10464 11232 11336 11772 12753 13952 14976 15696 17004 20928 22464 22672 23544 25506 31392 34008 38259 41856 44928 45344 47088 51012 62784 68016 76518 90688 94176 102024 125568 136032 153036 181376 188352 204048 272064 306072 376704 408096 544128 612144 816192 1224288 1632384 2448576 4897152