Search a number
-
+
263000472 = 233717711297
BaseRepresentation
bin11111010110100…
…01000110011000
3200022212210211020
433223101012120
51014312003342
642033002440
76342316140
oct1753210630
9608783736
10263000472
11125503169
12740b3420
1342644ba7
1426d01920
15181510ec
hexfad1198

263000472 has 128 divisors (see below), whose sum is σ = 807459840. Its totient is φ = 69672960.

The previous prime is 263000471. The next prime is 263000473. The reversal of 263000472 is 274000362.

263000472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (263000471) and next prime (263000473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263000471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202128 + ... + 203424.

It is an arithmetic number, because the mean of its divisors is an integer number (6308280).

Almost surely, 2263000472 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 263000472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403729920).

263000472 is an abundant number, since it is smaller than the sum of its proper divisors (544459368).

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

263000472 is a wasteful number, since it uses less digits than its factorization.

263000472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 263000472 is about 16217.2892926037. The cubic root of 263000472 is about 640.6962409990.

The spelling of 263000472 in words is "two hundred sixty-three million, four hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 71 84 102 119 136 142 168 204 213 238 284 357 408 426 476 497 568 714 852 952 994 1207 1297 1428 1491 1704 1988 2414 2594 2856 2982 3621 3891 3976 4828 5188 5964 7242 7782 8449 9079 9656 10376 11928 14484 15564 16898 18158 22049 25347 27237 28968 31128 33796 36316 44098 50694 54474 66147 67592 72632 88196 92087 101388 108948 132294 154343 176392 184174 202776 217896 264588 276261 308686 368348 463029 529176 552522 617372 644609 736696 926058 1105044 1234744 1289218 1565479 1852116 1933827 2210088 2578436 3130958 3704232 3867654 4696437 5156872 6261916 7735308 9392874 10958353 12523832 15470616 18785748 21916706 32875059 37571496 43833412 65750118 87666824 131500236 263000472