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419053428 = 223220295737
BaseRepresentation
bin11000111110100…
…011111101110100
31002012112010020100
4120332203331310
51324234202203
6105325434100
713245616053
oct3076437564
91065463210
10419053428
111a55aa052
12b840b930
1368a82c11
143d92439a
1526bc8ea3
hex18fa3f74

419053428 has 36 divisors (see below), whose sum is σ = 1059980740. Its totient is φ = 139591296.

The previous prime is 419053423. The next prime is 419053433. The reversal of 419053428 is 824350914.

It is an interprime number because it is at equal distance from previous prime (419053423) and next prime (419053433).

It can be written as a sum of positive squares in 2 ways, for example, as 210482064 + 208571364 = 14508^2 + 14442^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 419053392 and 419053401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419053423) 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, 70176 + ... + 75912.

Almost surely, 2419053428 is an apocalyptic number.

It is an amenable number.

419053428 is an abundant number, since it is smaller than the sum of its proper divisors (640927312).

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

419053428 is a wasteful number, since it uses less digits than its factorization.

419053428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 419053428 is about 20470.7945131595. The cubic root of 419053428 is about 748.3242157851.

The spelling of 419053428 in words is "four hundred nineteen million, fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2029 4058 5737 6087 8116 11474 12174 17211 18261 22948 24348 34422 36522 51633 68844 73044 103266 206532 11640373 23280746 34921119 46561492 69842238 104763357 139684476 209526714 419053428