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425713392 = 2432131911969
BaseRepresentation
bin11001010111111…
…101111011110000
31002200001110222200
4121113331323300
51332440312032
6110124303200
713356334626
oct3127757360
91080043880
10425713392
111a9338855
12ba6a1b00
136a275420
1440779516
152759247c
hex195fdef0

425713392 has 120 divisors (see below), whose sum is σ = 1350694800. Its totient is φ = 124084224.

The previous prime is 425713381. The next prime is 425713397. The reversal of 425713392 is 293317524.

425713392 is a `hidden beast` number, since 4 + 257 + 13 + 392 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425713397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29584 + ... + 41552.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2425713392 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 425713392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675347400).

425713392 is an abundant number, since it is smaller than the sum of its proper divisors (924981408).

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

425713392 is a wasteful number, since it uses less digits than its factorization.

425713392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015 (or 12006 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 425713392 is about 20632.8231708605. The cubic root of 425713392 is about 752.2677389028.

The spelling of 425713392 in words is "four hundred twenty-five million, seven hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1872 1976 2223 2736 2964 3952 4446 5928 8892 11856 11969 17784 23938 35568 35907 47876 71814 95752 107721 143628 155597 191504 215442 227411 287256 311194 430884 454822 466791 574512 622388 682233 861768 909644 933582 1244776 1364466 1400373 1723536 1819288 1867164 2046699 2489552 2728932 2800746 2956343 3638576 3734328 4093398 5457864 5601492 5912686 7468656 8186796 8869029 10915728 11202984 11825372 16373592 17738058 22405968 23650744 26607087 32747184 35476116 47301488 53214174 70952232 106428348 141904464 212856696 425713392