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416400942 = 23717912373
BaseRepresentation
bin11000110100011…
…100011000101110
31002000112100201010
4120310130120232
51323044312232
6105152530050
713214230626
oct3064343056
91060470633
10416400942
111a4058211
12b7550926
13683647b9
143d433886
15268530cc
hex18d1c62e

416400942 has 32 divisors (see below), whose sum is σ = 855290880. Its totient is φ = 135102240.

The previous prime is 416400931. The next prime is 416400967. The reversal of 416400942 is 249004614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27468 + ... + 39840.

It is an arithmetic number, because the mean of its divisors is an integer number (26727840).

Almost surely, 2416400942 is an apocalyptic number.

416400942 is an abundant number, since it is smaller than the sum of its proper divisors (438889938).

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

416400942 is a wasteful number, since it uses less digits than its factorization.

416400942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12528.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 416400942 is about 20405.9045866631. The cubic root of 416400942 is about 746.7419813573.

The spelling of 416400942 in words is "four hundred sixteen million, four hundred thousand, nine hundred forty-two".

Divisors: 1 2 3 6 71 79 142 158 213 237 426 474 5609 11218 12373 16827 24746 33654 37119 74238 878483 977467 1756966 1954934 2635449 2932401 5270898 5864802 69400157 138800314 208200471 416400942