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46420866 = 23237471483
BaseRepresentation
bin1011000100010…
…1001110000010
310020100102110100
42301011032002
543340431431
64334543230
71102366542
oct261051602
9106312410
1046420866
1124226758
1213667b16
13980428b
146245322
15411e4e6
hex2c45382

46420866 has 48 divisors (see below), whose sum is σ = 105565824. Its totient is φ = 14725152.

The previous prime is 46420861. The next prime is 46420879. The reversal of 46420866 is 66802464.

It is a happy number.

46420866 is a `hidden beast` number, since 4 + 642 + 0 + 8 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46420866.

It is not an unprimeable number, because it can be changed into a prime (46420861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30561 + ... + 32043.

It is an arithmetic number, because the mean of its divisors is an integer number (2199288).

Almost surely, 246420866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46420866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52782912).

46420866 is an abundant number, since it is smaller than the sum of its proper divisors (59144958).

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

46420866 is a wasteful number, since it uses less digits than its factorization.

46420866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 46420866 is about 6813.2859913554. The cubic root of 46420866 is about 359.3942126691.

The spelling of 46420866 in words is "forty-six million, four hundred twenty thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 666 846 1483 1739 2966 3478 4449 5217 8898 10434 13347 15651 26694 31302 54871 69701 109742 139402 164613 209103 329226 418206 493839 627309 987678 1254618 2578937 5157874 7736811 15473622 23210433 46420866