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4246272 = 28321997
BaseRepresentation
bin10000001100101100000000
321222201210100
4100030230000
52041340042
6231002400
751043542
oct20145400
97881710
104246272
112440318
121509400
13b589b4
147c7692
1558d24c
hex40cb00

4246272 has 108 divisors (see below), whose sum is σ = 13020280. Its totient is φ = 1327104.

The previous prime is 4246241. The next prime is 4246273. The reversal of 4246272 is 2726424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4246273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43728 + ... + 43824.

Almost surely, 24246272 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 4246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510140).

4246272 is an abundant number, since it is smaller than the sum of its proper divisors (8774008).

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

4246272 is a wasteful number, since it uses less digits than its factorization.

4246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 4246272 is about 2060.6484416319. The cubic root of 4246272 is about 161.9332143548.

The spelling of 4246272 in words is "four million, two hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 97 114 128 144 152 171 192 194 228 256 288 291 304 342 384 388 456 576 582 608 684 768 776 873 912 1152 1164 1216 1368 1552 1746 1824 1843 2304 2328 2432 2736 3104 3492 3648 3686 4656 4864 5472 5529 6208 6984 7296 7372 9312 10944 11058 12416 13968 14592 14744 16587 18624 21888 22116 24832 27936 29488 33174 37248 43776 44232 55872 58976 66348 74496 88464 111744 117952 132696 176928 223488 235904 265392 353856 471808 530784 707712 1061568 1415424 2123136 4246272