Search a number
-
+
401573025 = 33527372297
BaseRepresentation
bin10111111011111…
…000010010100001
31000222122000122000
4113323320102201
51310300314100
6103503034213
712644212560
oct2773702241
91028560560
10401573025
1119674a837
12b259b969
1365272599
143b493bd7
15253c4900
hex17ef84a1

401573025 has 96 divisors (see below), whose sum is σ = 866254080. Its totient is φ = 178536960.

The previous prime is 401573021. The next prime is 401573047. The reversal of 401573025 is 520375104.

It is a happy number.

It is not a de Polignac number, because 401573025 - 22 = 401573021 is a prime.

It is a super-2 number, since 2×4015730252 = 322521788815301250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 401573025.

It is not an unprimeable number, because it can be changed into a prime (401573021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173677 + ... + 175973.

It is an arithmetic number, because the mean of its divisors is an integer number (9023480).

Almost surely, 2401573025 is an apocalyptic number.

401573025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401573025 is an abundant number, since it is smaller than the sum of its proper divisors (464681055).

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

401573025 is a wasteful number, since it uses less digits than its factorization.

401573025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 401573025 is about 20039.2870382157. The cubic root of 401573025 is about 737.7708820122.

The spelling of 401573025 in words is "four hundred one million, five hundred seventy-three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 37 45 63 75 105 111 135 175 185 189 225 259 315 333 525 555 675 777 925 945 999 1295 1575 1665 2297 2331 2775 3885 4725 4995 6475 6891 6993 8325 11485 11655 16079 19425 20673 24975 34455 34965 48237 57425 58275 62019 80395 84989 103365 144711 172275 174825 241185 254967 310095 401975 424945 434133 516825 594923 723555 764901 1205925 1274835 1550475 1784769 2124725 2170665 2294703 2974615 3617775 3824505 5354307 6374175 8923845 10853325 11473515 14873075 16062921 19122525 26771535 44619225 57367575 80314605 133857675 401573025