Search a number
-
+
427611464 = 23761151829
BaseRepresentation
bin11001011111001…
…101010101001000
31002210121220122122
4121133031111020
51333432031324
6110233110412
713411431440
oct3137152510
91083556578
10427611464
111aa414905
12bb258408
136a78b347
1440b11120
1527819a5e
hex197cd548

427611464 has 64 divisors (see below), whose sum is σ = 938630400. Its totient is φ = 178848000.

The previous prime is 427611461. The next prime is 427611491. The reversal of 427611464 is 464116724.

It is not an unprimeable number, because it can be changed into a prime (427611461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515402 + ... + 516230.

It is an arithmetic number, because the mean of its divisors is an integer number (14666100).

Almost surely, 2427611464 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 427611464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469315200).

427611464 is an abundant number, since it is smaller than the sum of its proper divisors (511018936).

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

427611464 is a wasteful number, since it uses less digits than its factorization.

427611464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 427611464 is about 20678.7684352816. The cubic root of 427611464 is about 753.3840936550.

The spelling of 427611464 in words is "four hundred twenty-seven million, six hundred eleven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 61 122 151 244 302 427 488 604 829 854 1057 1208 1658 1708 2114 3316 3416 4228 5803 6632 8456 9211 11606 18422 23212 36844 46424 50569 64477 73688 101138 125179 128954 202276 250358 257908 353983 404552 500716 515816 707966 876253 1001432 1415932 1752506 2831864 3505012 7010024 7635919 15271838 30543676 53451433 61087352 106902866 213805732 427611464