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464214740 = 2251119710711
BaseRepresentation
bin11011101010110…
…101101011010100
31012100111112220112
4123222311223110
51422314332430
6114021422152
714334521513
oct3352655324
91170445815
10464214740
11219045450
1210b56a958
1375235aa2
144591c67a
152ab4a195
hex1bab5ad4

464214740 has 48 divisors (see below), whose sum is σ = 1068971904. Its totient is φ = 167932800.

The previous prime is 464214721. The next prime is 464214749. The reversal of 464214740 is 47412464.

It is a junction number, because it is equal to n+sod(n) for n = 464214697 and 464214706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464214749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37985 + ... + 48695.

It is an arithmetic number, because the mean of its divisors is an integer number (22270248).

Almost surely, 2464214740 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 464214740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534485952).

464214740 is an abundant number, since it is smaller than the sum of its proper divisors (604757164).

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

464214740 is a wasteful number, since it uses less digits than its factorization.

464214740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 464214740 is about 21545.6431790745. The cubic root of 464214740 is about 774.2947395984.

The spelling of 464214740 in words is "four hundred sixty-four million, two hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 10711 10835 21422 21670 42844 43340 53555 107110 117821 214220 235642 471284 589105 1178210 2110067 2356420 4220134 8440268 10550335 21100670 23210737 42201340 46421474 92842948 116053685 232107370 464214740