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427897152 = 26322332299
BaseRepresentation
bin11001100000010…
…011000101000000
31002211011102112200
4121200103011000
51334020202102
6110243153200
713414031364
oct3140230500
91084142480
10427897152
111aa59a511
12bb375800
136a85b3a7
1440b872a4
152787451c
hex19813140

427897152 has 84 divisors (see below), whose sum is σ = 1279855200. Its totient is φ = 136426752.

The previous prime is 427897147. The next prime is 427897153. The reversal of 427897152 is 251798724.

It is a happy number.

It is a super-2 number, since 2×4278971522 = 366191945379422208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 427897098 and 427897107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427897153) 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, 2902 + ... + 29397.

Almost surely, 2427897152 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 427897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639927600).

427897152 is an abundant number, since it is smaller than the sum of its proper divisors (851958048).

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

427897152 is a wasteful number, since it uses less digits than its factorization.

427897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32340 (or 32327 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 427897152 is about 20685.6750433724. The cubic root of 427897152 is about 753.5518354006.

The spelling of 427897152 in words is "four hundred twenty-seven million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 32299 64598 96897 129196 193794 258392 290691 387588 516784 581382 742877 775176 1033568 1162764 1485754 1550352 2067136 2228631 2325528 2971508 3100704 4457262 4651056 5943016 6201408 6685893 8914524 9302112 11886032 13371786 17829048 18604224 23772064 26743572 35658096 47544128 53487144 71316192 106974288 142632384 213948576 427897152