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465140628 = 223229445537
BaseRepresentation
bin11011101110010…
…111101110010100
31012102020120222200
4123232113232110
51423034000003
6114053324500
714345426061
oct3356275624
91172216880
10465140628
11219618047
1210b936730
137549b354
1445abdc68
152ac7e6a3
hex1bb97b94

465140628 has 36 divisors (see below), whose sum is σ = 1216318740. Its totient is φ = 149700096.

The previous prime is 465140617. The next prime is 465140633. The reversal of 465140628 is 826041564.

It can be written as a sum of positive squares in 2 ways, for example, as 309689604 + 155451024 = 17598^2 + 12468^2 .

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 junction number, because it is equal to n+sod(n) for n = 465140592 and 465140601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221725 + ... + 223812.

Almost surely, 2465140628 is an apocalyptic number.

It is an amenable number.

465140628 is an abundant number, since it is smaller than the sum of its proper divisors (751178112).

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

465140628 is a wasteful number, since it uses less digits than its factorization.

465140628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445576 (or 445571 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 465140628 is about 21567.1191400242. The cubic root of 465140628 is about 774.8091811860.

The spelling of 465140628 in words is "four hundred sixty-five million, one hundred forty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 445537 891074 1336611 1782148 2673222 4009833 5346444 8019666 12920573 16039332 25841146 38761719 51682292 77523438 116285157 155046876 232570314 465140628