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468715401 = 32711261487
BaseRepresentation
bin11011111100000…
…000011110001001
31012122222012122200
4123330000132021
51424442343101
6114302110413
714421005130
oct3374003611
91178865580
10468715401
11220639900
12110b7b409
13761504bb
1446370917
152b238986
hex1bf00789

468715401 has 36 divisors (see below), whose sum is σ = 850502016. Its totient is φ = 243484560.

The previous prime is 468715363. The next prime is 468715421. The reversal of 468715401 is 104517864.

It is a happy number.

468715401 is a `hidden beast` number, since 46 + 8 + 71 + 540 + 1 = 666.

It is not a de Polignac number, because 468715401 - 223 = 460326793 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468715421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23121 + ... + 38366.

It is an arithmetic number, because the mean of its divisors is an integer number (23625056).

Almost surely, 2468715401 is an apocalyptic number.

It is an amenable number.

468715401 is a deficient number, since it is larger than the sum of its proper divisors (381786615).

468715401 is a wasteful number, since it uses less digits than its factorization.

468715401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61522 (or 61508 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 468715401 is about 21649.8360501875. The cubic root of 468715401 is about 776.7890136382.

The spelling of 468715401 in words is "four hundred sixty-eight million, seven hundred fifteen thousand, four hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 7623 61487 184461 430409 553383 676357 1291227 2029071 3873681 4734499 6087213 7439927 14203497 22319781 42610491 52079489 66959343 156238467 468715401