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423047844 = 223219797829
BaseRepresentation
bin11001001101110…
…011001010100100
31002111001001112200
4121031303022210
51331300012334
6105551214500
713324563432
oct3115631244
91074031480
10423047844
111a788811a
12b9817430
136985108b
1440283d52
1527217799
hex193732a4

423047844 has 72 divisors (see below), whose sum is σ = 1140048000. Its totient is φ = 131886144.

The previous prime is 423047837. The next prime is 423047879. The reversal of 423047844 is 448740324.

It is a happy number.

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 = 423047799 and 423047808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50122 + ... + 57950.

It is an arithmetic number, because the mean of its divisors is an integer number (15834000).

Almost surely, 2423047844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423047844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570024000).

423047844 is an abundant number, since it is smaller than the sum of its proper divisors (717000156).

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

423047844 is a wasteful number, since it uses less digits than its factorization.

423047844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7937 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 423047844 is about 20568.1268957579. The cubic root of 423047844 is about 750.6943755917.

The spelling of 423047844 in words is "four hundred twenty-three million, forty-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 228 237 316 342 474 684 711 948 1422 1501 2844 3002 4503 6004 7829 9006 13509 15658 18012 23487 27018 31316 46974 54036 70461 93948 140922 148751 281844 297502 446253 595004 618491 892506 1236982 1338759 1785012 1855473 2473964 2677518 3710946 5355036 5566419 7421892 11132838 11751329 22265676 23502658 35253987 47005316 70507974 105761961 141015948 211523922 423047844