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425145966 = 237315361101
BaseRepresentation
bin11001010101110…
…011011001101110
31002121222122121220
4121111303121232
51332314132331
6110104204210
713351452420
oct3125633156
91077878556
10425145966
111a8a90503
12ba469666
136a10707b
144066c810
15274ce296
hex1957366e

425145966 has 128 divisors (see below), whose sum is σ = 1049075712. Its totient is φ = 112320000.

The previous prime is 425145949. The next prime is 425145967. The reversal of 425145966 is 669541524.

425145966 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425145967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4209316 + ... + 4209416.

It is an arithmetic number, because the mean of its divisors is an integer number (8195904).

Almost surely, 2425145966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425145966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524537856).

425145966 is an abundant number, since it is smaller than the sum of its proper divisors (623929746).

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

425145966 is a wasteful number, since it uses less digits than its factorization.

425145966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its digits is 259200, while the sum is 42.

The square root of 425145966 is about 20619.0680196754. The cubic root of 425145966 is about 751.9333620878.

The spelling of 425145966 in words is "four hundred twenty-five million, one hundred forty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 53 61 62 93 101 106 122 159 183 186 202 217 303 318 366 371 427 434 606 651 707 742 854 1113 1281 1302 1414 1643 1891 2121 2226 2562 3131 3233 3286 3782 4242 4929 5353 5673 6161 6262 6466 9393 9699 9858 10706 11346 11501 12322 13237 16059 18483 18786 19398 21917 22631 23002 26474 32118 34503 36966 37471 39711 43127 43834 45262 65751 67893 69006 74942 79422 86254 100223 112413 129381 131502 135786 165943 190991 200446 224826 258762 300669 326533 331886 381982 497829 572973 601338 653066 701561 979599 995658 1145946 1161601 1336937 1403122 1959198 2104683 2285731 2323202 2673874 3484803 4010811 4209366 4571462 6857193 6969606 8021622 10122523 13714386 20245046 30367569 60735138 70857661 141715322 212572983 425145966