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419675424 = 2537624517
BaseRepresentation
bin11001000000111…
…011110100100000
31002020200201110020
4121000323310200
51324414103144
6105351033440
713254116340
oct3100736440
91066621406
10419675424
111a59943a3
12b866b880
1368c4006c
143da46d20
1526c9d419
hex1903bd20

419675424 has 48 divisors (see below), whose sum is σ = 1259028288. Its totient is φ = 119907072.

The previous prime is 419675419. The next prime is 419675441. The reversal of 419675424 is 424576914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4196754242 = 352254923019159552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311587 + ... + 312930.

It is an arithmetic number, because the mean of its divisors is an integer number (26229756).

Almost surely, 2419675424 is an apocalyptic number.

It is an amenable number.

419675424 is an abundant number, since it is smaller than the sum of its proper divisors (839352864).

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

419675424 is a wasteful number, since it uses less digits than its factorization.

419675424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624537 (or 624529 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 419675424 is about 20485.9811578552. The cubic root of 419675424 is about 748.6942756533.

The spelling of 419675424 in words is "four hundred nineteen million, six hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 624517 1249034 1873551 2498068 3747102 4371619 4996136 7494204 8743238 9992272 13114857 14988408 17486476 19984544 26229714 29976816 34972952 52459428 59953632 69945904 104918856 139891808 209837712 419675424