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423825024 = 2737295437
BaseRepresentation
bin11001010000110…
…000111010000000
31002112111112122010
4121100300322000
51331444400044
6110020012520
713334311320
oct3120607200
91075445563
10423825024
111a8269017
12b9b31140
1369a63a4c
1440407280
152731cbb9
hex19430e80

423825024 has 128 divisors (see below), whose sum is σ = 1331222400. Its totient is φ = 116895744.

The previous prime is 423825013. The next prime is 423825041. The reversal of 423825024 is 420528324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 423824982 and 423825000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75234 + ... + 80670.

It is an arithmetic number, because the mean of its divisors is an integer number (10400175).

Almost surely, 2423825024 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 423825024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665611200).

423825024 is an abundant number, since it is smaller than the sum of its proper divisors (907397376).

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

423825024 is a wasteful number, since it uses less digits than its factorization.

423825024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 423825024 is about 20587.0110506601. The cubic root of 423825024 is about 751.1537938805.

The spelling of 423825024 in words is "four hundred twenty-three million, eight hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4872 5437 5568 6496 9744 10874 11136 12992 16311 19488 21748 25984 32622 38059 38976 43496 65244 76118 77952 86992 114177 130488 152236 157673 173984 228354 260976 304472 315346 347968 456708 473019 521952 608944 630692 695936 913416 946038 1043904 1103711 1217888 1261384 1826832 1892076 2087808 2207422 2435776 2522768 3311133 3653664 3784152 4414844 4871552 5045536 6622266 7307328 7568304 8829688 10091072 13244532 14614656 15136608 17659376 20182144 26489064 30273216 35318752 52978128 60546432 70637504 105956256 141275008 211912512 423825024