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402023424 = 21031111897
BaseRepresentation
bin10111111101100…
…110010000000000
31001000110220110110
4113331212100000
51310404222144
6103520431320
712651066645
oct2775462000
91030426413
10402023424
11196a28170
12b2778540
136539c5aa
143b56ddcc
15254630b9
hex17f66400

402023424 has 88 divisors (see below), whose sum is σ = 1169049888. Its totient is φ = 121815040.

The previous prime is 402023393. The next prime is 402023449. The reversal of 402023424 is 424320204.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 402023424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27844 + ... + 39740.

Almost surely, 2402023424 is an apocalyptic number.

402023424 is a gapful number since it is divisible by the number (44) 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 402023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584524944).

402023424 is an abundant number, since it is smaller than the sum of its proper divisors (767026464).

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

402023424 is a wasteful number, since it uses less digits than its factorization.

402023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 402023424 is about 20050.5217887216. The cubic root of 402023424 is about 738.0466036477.

Adding to 402023424 its reverse (424320204), we get a palindrome (826343628).

The spelling of 402023424 in words is "four hundred two million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 11897 16896 23794 33792 35691 47588 71382 95176 130867 142764 190352 261734 285528 380704 392601 523468 571056 761408 785202 1046936 1142112 1522816 1570404 2093872 2284224 3045632 3140808 4187744 4568448 6091264 6281616 8375488 9136896 12182528 12563232 16750976 18273792 25126464 33501952 36547584 50252928 67003904 100505856 134007808 201011712 402023424