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425392590 = 235723293037
BaseRepresentation
bin11001010110101…
…111100111001110
31002122110011221010
4121112233213032
51332400030330
6110113350050
713353530430
oct3126574716
91078404833
10425392590
111a9139827
12ba568326
136a1923bc
14406d4650
152752c3b0
hex195af9ce

425392590 has 128 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 89768448.

The previous prime is 425392579. The next prime is 425392603. The reversal of 425392590 is 95293524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138552 + ... + 141588.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2425392590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425392590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

425392590 is an abundant number, since it is smaller than the sum of its proper divisors (834526770).

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

425392590 is a wasteful number, since it uses less digits than its factorization.

425392590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106.

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 425392590 is about 20625.0476363086. The cubic root of 425392590 is about 752.0787309583.

The spelling of 425392590 in words is "four hundred twenty-five million, three hundred ninety-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 29 30 35 42 46 58 69 70 87 105 115 138 145 161 174 203 210 230 290 322 345 406 435 483 609 667 690 805 870 966 1015 1218 1334 1610 2001 2030 2415 3037 3045 3335 4002 4669 4830 6074 6090 6670 9111 9338 10005 14007 15185 18222 20010 21259 23345 28014 30370 42518 45555 46690 63777 69851 70035 88073 91110 106295 127554 139702 140070 176146 209553 212590 264219 318885 349255 419106 440365 488957 528438 616511 637770 698510 880730 977914 1047765 1233022 1321095 1466871 1849533 2025679 2095530 2444785 2642190 2933742 3082555 3699066 4051358 4889570 6077037 6165110 7334355 9247665 10128395 12154074 14179753 14668710 18495330 20256790 28359506 30385185 42539259 60770370 70898765 85078518 141797530 212696295 425392590