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424056744 = 2332192391297
BaseRepresentation
bin11001010001101…
…001011110101000
31002112221022111100
4121101221132220
51332024303434
6110025001400
713336265016
oct3121513650
91075838440
10424056744
111a8407121
12ba023260
1369b15367
14404678b6
1527366699
hex194697a8

424056744 has 96 divisors (see below), whose sum is σ = 1214928000. Its totient is φ = 133249536.

The previous prime is 424056739. The next prime is 424056749. The reversal of 424056744 is 447650424.

It is an interprime number because it is at equal distance from previous prime (424056739) and next prime (424056749).

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 = 424056699 and 424056708.

It is not an unprimeable number, because it can be changed into a prime (424056749) 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, 326304 + ... + 327600.

It is an arithmetic number, because the mean of its divisors is an integer number (12655500).

Almost surely, 2424056744 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 424056744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607464000).

424056744 is an abundant number, since it is smaller than the sum of its proper divisors (790871256).

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

424056744 is a wasteful number, since it uses less digits than its factorization.

424056744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 424056744 is about 20592.6381020014. The cubic root of 424056744 is about 751.2906629780.

The spelling of 424056744 in words is "four hundred twenty-four million, fifty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 239 342 456 478 684 717 956 1297 1368 1434 1912 2151 2594 2868 3891 4302 4541 5188 5736 7782 8604 9082 10376 11673 13623 15564 17208 18164 23346 24643 27246 31128 36328 40869 46692 49286 54492 73929 81738 93384 98572 108984 147858 163476 197144 221787 295716 309983 326952 443574 591432 619966 887148 929949 1239932 1774296 1859898 2479864 2789847 3719796 5579694 5889677 7439592 11159388 11779354 17669031 22318776 23558708 35338062 47117416 53007093 70676124 106014186 141352248 212028372 424056744