Search a number
-
+
425172300 = 223527293691
BaseRepresentation
bin11001010101111…
…001110101001100
31002122000222202020
4121111321311030
51332321003200
6110104530140
713351622250
oct3125716514
91078028666
10425172300
111a8aa9273
12ba480950
136a116057
1440678260
15274d6ea0
hex19579d4c

425172300 has 144 divisors (see below), whose sum is σ = 1412742912. Its totient is φ = 96710400.

The previous prime is 425172271. The next prime is 425172323. The reversal of 425172300 is 3271524.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614955 + ... + 615645.

Almost surely, 2425172300 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 425172300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706371456).

425172300 is an abundant number, since it is smaller than the sum of its proper divisors (987570612).

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

425172300 is a wasteful number, since it uses less digits than its factorization.

425172300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 425172300 is about 20619.7065934508. The cubic root of 425172300 is about 751.9488869553.

The spelling of 425172300 in words is "four hundred twenty-five million, one hundred seventy-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 293 300 350 420 525 586 691 700 879 1050 1172 1382 1465 1758 2051 2073 2100 2764 2930 3455 3516 4102 4146 4395 4837 5860 6153 6910 7325 8204 8292 8790 9674 10255 10365 12306 13820 14511 14650 17275 17580 19348 20510 20730 21975 24185 24612 29022 29300 30765 34550 41020 41460 43950 48370 51275 51825 58044 61530 69100 72555 87900 96740 102550 103650 120925 123060 145110 153825 202463 205100 207300 241850 290220 307650 362775 404926 483700 607389 615300 725550 809852 1012315 1214778 1417241 1451100 2024630 2429556 2834482 3036945 4049260 4251723 5061575 5668964 6073890 7086205 8503446 10123150 12147780 14172410 15184725 17006892 20246300 21258615 28344820 30369450 35431025 42517230 60738900 70862050 85034460 106293075 141724100 212586150 425172300