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464011542 = 232294718913
BaseRepresentation
bin11011101010000…
…100000100010110
31012100010020011200
4123222010010112
51422241332132
6114013213330
714333014221
oct3352040426
91170106150
10464011542
11218a16815
1210b491246
1375194457
14458a85b8
152ab09d7c
hex1ba84116

464011542 has 48 divisors (see below), whose sum is σ = 1062210240. Its totient is φ = 146151936.

The previous prime is 464011531. The next prime is 464011543. The reversal of 464011542 is 245110464.

464011542 is a `hidden beast` number, since 4 + 640 + 1 + 15 + 4 + 2 = 666.

It is a super-4 number, since 4×4640115424 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464011543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15078 + ... + 33990.

It is an arithmetic number, because the mean of its divisors is an integer number (22129380).

Almost surely, 2464011542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464011542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531105120).

464011542 is an abundant number, since it is smaller than the sum of its proper divisors (598198698).

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

464011542 is a wasteful number, since it uses less digits than its factorization.

464011542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18997 (or 18994 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 464011542 is about 21540.9271388211. The cubic root of 464011542 is about 774.1817472761.

The spelling of 464011542 in words is "four hundred sixty-four million, eleven thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 423 522 846 1363 2726 4089 8178 12267 18913 24534 37826 56739 113478 170217 340434 548477 888911 1096954 1645431 1777822 2666733 3290862 4936293 5333466 8000199 9872586 16000398 25778419 51556838 77335257 154670514 232005771 464011542