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423150444 = 2232194314387
BaseRepresentation
bin11001001110001…
…100001101101100
31002111020021021200
4121032030031230
51331311303234
6105553325500
713325501523
oct3116141554
91074207250
10423150444
111a7948212
12b9866890
13698889a2
14402ad4ba
1527237d99
hex1938c36c

423150444 has 72 divisors (see below), whose sum is σ = 1152191040. Its totient is φ = 130509792.

The previous prime is 423150443. The next prime is 423150457. The reversal of 423150444 is 444051324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (423150443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22219 + ... + 36605.

Almost surely, 2423150444 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 423150444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576095520).

423150444 is an abundant number, since it is smaller than the sum of its proper divisors (729040596).

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

423150444 is a wasteful number, since it uses less digits than its factorization.

423150444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14459 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 423150444 is about 20570.6208948588. The cubic root of 423150444 is about 750.7550582609.

The spelling of 423150444 in words is "four hundred twenty-three million, one hundred fifty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 1548 1634 2451 3268 4902 7353 9804 14387 14706 28774 29412 43161 57548 86322 129483 172644 258966 273353 517932 546706 618641 820059 1093412 1237282 1640118 1855923 2460177 2474564 3280236 3711846 4920354 5567769 7423692 9840708 11135538 11754179 22271076 23508358 35262537 47016716 70525074 105787611 141050148 211575222 423150444