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266729472 = 2113229499
BaseRepresentation
bin11111110010111…
…11100000000000
3200120220021001100
433321133200000
51021240320342
642244534400
76416106642
oct1771374000
9616807040
10266729472
1112761a889
12753b1400
134334c2b9
14275d2892
151863ae4c
hexfe5f800

266729472 has 144 divisors (see below), whose sum is σ = 798525000. Its totient is φ = 85671936.

The previous prime is 266729471. The next prime is 266729503. The reversal of 266729472 is 274927662.

266729472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2667294722 = 142289222466797568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266729471) 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, 534279 + ... + 534777.

Almost surely, 2266729472 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 266729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399262500).

266729472 is an abundant number, since it is smaller than the sum of its proper divisors (531795528).

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

266729472 is a wasteful number, since it uses less digits than its factorization.

266729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 266729472 is about 16331.8545180883. The cubic root of 266729472 is about 643.7101173394.

The spelling of 266729472 in words is "two hundred sixty-six million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 499 512 522 576 696 768 928 998 1024 1044 1152 1392 1497 1536 1856 1996 2048 2088 2304 2784 2994 3072 3712 3992 4176 4491 4608 5568 5988 6144 7424 7984 8352 8982 9216 11136 11976 14471 14848 15968 16704 17964 18432 22272 23952 28942 29696 31936 33408 35928 43413 44544 47904 57884 59392 63872 66816 71856 86826 89088 95808 115768 127744 130239 133632 143712 173652 178176 191616 231536 255488 260478 267264 287424 347304 383232 463072 510976 520956 534528 574848 694608 766464 926144 1021952 1041912 1149696 1389216 1532928 1852288 2083824 2299392 2778432 3065856 3704576 4167648 4598784 5556864 7409152 8335296 9197568 11113728 14818304 16670592 22227456 29636608 33341184 44454912 66682368 88909824 133364736 266729472