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946145464 = 231121516473
BaseRepresentation
bin111000011001010…
…000100010111000
32102221100011120121
4320121100202320
53414203123324
6233515103024
732306050405
oct7031204270
92387304517
10946145464
11446090100
12224a41a74
131210324b4
148d92d2ac
15580e45e4
hex386508b8

946145464 has 48 divisors (see below), whose sum is σ = 1963175760. Its totient is φ = 427152000.

The previous prime is 946145461. The next prime is 946145471. The reversal of 946145464 is 464541649.

It is a self number, because there is not a number n which added to its sum of digits gives 946145464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946145461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142932 + ... + 149404.

It is an arithmetic number, because the mean of its divisors is an integer number (40899495).

Almost surely, 2946145464 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 946145464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981587880).

946145464 is an abundant number, since it is smaller than the sum of its proper divisors (1017030296).

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

946145464 is a wasteful number, since it uses less digits than its factorization.

946145464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6637 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 946145464 is about 30759.4776288545. The cubic root of 946145464 is about 981.7162291213.

The spelling of 946145464 in words is "nine hundred forty-six million, one hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 151 242 302 484 604 968 1208 1661 3322 6473 6644 12946 13288 18271 25892 36542 51784 71203 73084 142406 146168 284812 569624 783233 977423 1566466 1954846 3132932 3909692 6265864 7819384 10751653 21503306 43006612 86013224 118268183 236536366 473072732 946145464