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4713072 = 243713283
BaseRepresentation
bin10001111110101001110000
322212110010020
4101332221300
52201304242
6245003440
755026510
oct21765160
98773106
104713072
11272a001
1216b3580
13c90300
148a9840
156316ec
hex47ea70

4713072 has 120 divisors (see below), whose sum is σ = 15249024. Its totient is φ = 1228032.

The previous prime is 4713067. The next prime is 4713089. The reversal of 4713072 is 2703174.

4713072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56743 + ... + 56825.

Almost surely, 24713072 is an apocalyptic number.

4713072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4713072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624512).

4713072 is an abundant number, since it is smaller than the sum of its proper divisors (10535952).

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

4713072 is a wasteful number, since it uses less digits than its factorization.

4713072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 4713072 is about 2170.9610774954. The cubic root of 4713072 is about 167.6620189210.

The spelling of 4713072 in words is "four million, seven hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 83 84 91 104 112 156 166 168 169 182 208 249 273 312 332 336 338 364 498 507 546 581 624 664 676 728 996 1014 1079 1092 1162 1183 1328 1352 1456 1743 1992 2028 2158 2184 2324 2366 2704 3237 3486 3549 3984 4056 4316 4368 4648 4732 6474 6972 7098 7553 8112 8632 9296 9464 12948 13944 14027 14196 15106 17264 18928 22659 25896 27888 28054 28392 30212 42081 45318 51792 56108 56784 60424 84162 90636 98189 112216 120848 168324 181272 196378 224432 294567 336648 362544 392756 589134 673296 785512 1178268 1571024 2356536 4713072