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424507392 = 21135853
BaseRepresentation
bin11001010011010…
…111100000000000
31002120210012200000
4121103113200000
51332133214032
6110042400000
713343152611
oct3123274000
91076705600
10424507392
111a8694761
12ba200000
1369c4250a
1440543c08
1527404e7c
hex194d7800

424507392 has 144 divisors (see below), whose sum is σ = 1272955320. Its totient is φ = 141336576.

The previous prime is 424507381. The next prime is 424507403. The reversal of 424507392 is 293705424.

It is an interprime number because it is at equal distance from previous prime (424507381) and next prime (424507403).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 497238 + ... + 498090.

Almost surely, 2424507392 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 424507392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636477660).

424507392 is an abundant number, since it is smaller than the sum of its proper divisors (848447928).

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

424507392 is an frugal number, since it uses more digits than its factorization.

424507392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 424507392 is about 20603.5771651430. The cubic root of 424507392 is about 751.5567026669.

The spelling of 424507392 in words is "four hundred twenty-four million, five hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 853 864 972 1024 1152 1296 1536 1706 1728 1944 2048 2304 2559 2592 3072 3412 3456 3888 4608 5118 5184 6144 6824 6912 7677 7776 9216 10236 10368 13648 13824 15354 15552 18432 20472 20736 23031 27296 27648 30708 31104 40944 41472 46062 54592 55296 61416 62208 69093 81888 82944 92124 109184 122832 124416 138186 163776 165888 184248 207279 218368 245664 248832 276372 327552 368496 414558 436736 491328 497664 552744 655104 736992 829116 873472 982656 1105488 1310208 1473984 1658232 1746944 1965312 2210976 2620416 2947968 3316464 3930624 4421952 5240832 5895936 6632928 7861248 8843904 11791872 13265856 15722496 17687808 23583744 26531712 35375616 47167488 53063424 70751232 106126848 141502464 212253696 424507392