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423053440 = 2752332837
BaseRepresentation
bin11001001101110…
…100100010000000
31002111001100012221
4121031310202000
51331300202230
6105551300424
713324615645
oct3115644200
91074040187
10423053440
111a7891347
12b981a714
13698537a4
1440285dcc
152721927a
hex19374880

423053440 has 64 divisors (see below), whose sum is σ = 1016060760. Its totient is φ = 168435712.

The previous prime is 423053419. The next prime is 423053441. The reversal of 423053440 is 44350324.

It can be written as a sum of positive squares in 4 ways, for example, as 154355776 + 268697664 = 12424^2 + 16392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (423053441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147702 + ... + 150538.

Almost surely, 2423053440 is an apocalyptic number.

423053440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508030380).

423053440 is an abundant number, since it is smaller than the sum of its proper divisors (593007320).

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

423053440 is a wasteful number, since it uses less digits than its factorization.

423053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 423053440 is about 20568.2629310304. The cubic root of 423053440 is about 750.6976855933.

The spelling of 423053440 in words is "four hundred twenty-three million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 320 466 640 932 1165 1864 2330 2837 3728 4660 5674 7456 9320 11348 14185 14912 18640 22696 28370 29824 37280 45392 56740 74560 90784 113480 149120 181568 226960 363136 453920 661021 907840 1322042 1815680 2644084 3305105 5288168 6610210 10576336 13220420 21152672 26440840 42305344 52881680 84610688 105763360 211526720 423053440