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4723272 = 233437197
BaseRepresentation
bin10010000001001001001000
322212222010000
4102001021020
52202121042
6245123000
755101321
oct22011110
98788100
104723272
112736734
1216b9460
13c94b48
148ad448
1563474c
hex481248

4723272 has 80 divisors (see below), whose sum is σ = 13656060. Its totient is φ = 1524096.

The previous prime is 4723247. The next prime is 4723283. The reversal of 4723272 is 2723274.

It can be written as a sum of positive squares in 2 ways, for example, as 3437316 + 1285956 = 1854^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23878 + ... + 24074.

Almost surely, 24723272 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 4723272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828030).

4723272 is an abundant number, since it is smaller than the sum of its proper divisors (8932788).

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

4723272 is a wasteful number, since it uses less digits than its factorization.

4723272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 4723272 is about 2173.3089978188. The cubic root of 4723272 is about 167.7828827916.

4723272 divided by its sum of digits (27) gives a triangular number (174936 = T591).

The spelling of 4723272 in words is "four million, seven hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 197 216 222 296 324 333 394 444 591 648 666 788 888 999 1182 1332 1576 1773 1998 2364 2664 2997 3546 3996 4728 5319 5994 7092 7289 7992 10638 11988 14184 14578 15957 21276 21867 23976 29156 31914 42552 43734 58312 63828 65601 87468 127656 131202 174936 196803 262404 393606 524808 590409 787212 1180818 1574424 2361636 4723272