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419432046 = 231129317069
BaseRepresentation
bin11001000000000…
…000011001101110
31002020020100121020
4121000000121232
51324333311141
6105341515010
713252053645
oct3100003156
91066210536
10419432046
111a5838560
12b8572a66
1368b86357
143d9c235c
1526c51266
hex1900066e

419432046 has 64 divisors (see below), whose sum is σ = 977356800. Its totient is φ = 118742400.

The previous prime is 419432033. The next prime is 419432051. The reversal of 419432046 is 640234914.

It is a super-2 number, since 2×4194320462 = 351846482423492232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 419431998 and 419432016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55800 + ... + 62868.

It is an arithmetic number, because the mean of its divisors is an integer number (15271200).

Almost surely, 2419432046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419432046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488678400).

419432046 is an abundant number, since it is smaller than the sum of its proper divisors (557924754).

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

419432046 is a wasteful number, since it uses less digits than its factorization.

419432046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 419432046 is about 20480.0401855074. The cubic root of 419432046 is about 748.5495201750.

The spelling of 419432046 in words is "four hundred nineteen million, four hundred thirty-two thousand, forty-six".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 174 186 319 341 638 682 899 957 1023 1798 1914 2046 2697 5394 7069 9889 14138 19778 21207 29667 42414 59334 77759 155518 205001 219139 233277 410002 438278 466554 615003 657417 1230006 1314834 2255011 2410529 4510022 4821058 6355031 6765033 7231587 12710062 13530066 14463174 19065093 38130186 69905341 139810682 209716023 419432046