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468215136 = 25321625747
BaseRepresentation
bin11011111010000…
…110010101100000
31012122000210102100
4123322012111200
51424330341021
6114243250400
714413522464
oct3372062540
91178023370
10468215136
11220327a64
12110979a00
137600689c
14462804a4
152b18a626
hex1be86560

468215136 has 36 divisors (see below), whose sum is σ = 1331487612. Its totient is φ = 156071616.

The previous prime is 468215129. The next prime is 468215141. The reversal of 468215136 is 631512864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 468215136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 812586 + ... + 813161.

It is an arithmetic number, because the mean of its divisors is an integer number (36985767).

Almost surely, 2468215136 is an apocalyptic number.

It is an amenable number.

468215136 is an abundant number, since it is smaller than the sum of its proper divisors (863272476).

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

468215136 is a wasteful number, since it uses less digits than its factorization.

468215136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625763 (or 1625752 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 468215136 is about 21638.2794140384. The cubic root of 468215136 is about 776.5125568305.

The spelling of 468215136 in words is "four hundred sixty-eight million, two hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1625747 3251494 4877241 6502988 9754482 13005976 14631723 19508964 26011952 29263446 39017928 52023904 58526892 78035856 117053784 156071712 234107568 468215136