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424370496 = 26311672999
BaseRepresentation
bin11001010010110…
…110000101000000
31002120112020212210
4121102312011000
51332114323441
6110035422120
713342042524
oct3122660500
91076466783
10424370496
111a8600920
12ba154940
1369bc5104
1440509d84
15273c9616
hex194b6140

424370496 has 112 divisors (see below), whose sum is σ = 1243584000. Its totient is φ = 126635520.

The previous prime is 424370489. The next prime is 424370497. The reversal of 424370496 is 694073424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424370497) 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 15 ways as a sum of consecutive naturals, for example, 140005 + ... + 143003.

Almost surely, 2424370496 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 424370496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621792000).

424370496 is an abundant number, since it is smaller than the sum of its proper divisors (819213504).

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

424370496 is a wasteful number, since it uses less digits than its factorization.

424370496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 424370496 is about 20600.2547557063. The cubic root of 424370496 is about 751.4759061407.

The spelling of 424370496 in words is "four hundred twenty-four million, three hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 132 134 176 192 201 264 268 352 402 528 536 704 737 804 1056 1072 1474 1608 2112 2144 2211 2948 2999 3216 4288 4422 5896 5998 6432 8844 8997 11792 11996 12864 17688 17994 23584 23992 32989 35376 35988 47168 47984 65978 70752 71976 95968 98967 131956 141504 143952 191936 197934 200933 263912 287904 395868 401866 527824 575808 602799 791736 803732 1055648 1205598 1583472 1607464 2111296 2210263 2411196 3166944 3214928 4420526 4822392 6333888 6429856 6630789 8841052 9644784 12859712 13261578 17682104 19289568 26523156 35364208 38579136 53046312 70728416 106092624 141456832 212185248 424370496