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372420531 = 33722312239
BaseRepresentation
bin10110001100101…
…010111110110011
3221221202220221000
4112030222332303
51230314424111
6100542133043
712141344100
oct2614527663
9857686830
10372420531
1118124906a
12a4881183
135c2062a2
1437665aa7
1522a66c56
hex1632afb3

372420531 has 48 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 203542416.

The previous prime is 372420473. The next prime is 372420551. The reversal of 372420531 is 135024273.

It is not a de Polignac number, because 372420531 - 223 = 364031923 is a prime.

It is a super-2 number, since 2×3724205312 = 277394103820643922, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 372420495 and 372420504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372420551) 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 47 ways as a sum of consecutive naturals, for example, 24310 + ... + 36548.

It is an arithmetic number, because the mean of its divisors is an integer number (13953600).

Almost surely, 2372420531 is an apocalyptic number.

372420531 is a deficient number, since it is larger than the sum of its proper divisors (297352269).

372420531 is a wasteful number, since it uses less digits than its factorization.

372420531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12272 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 372420531 is about 19298.2002010550. The cubic root of 372420531 is about 719.4675403564.

It can be divided in two parts, 372 and 420531, that added together give a triangular number (420903 = T917).

The spelling of 372420531 in words is "three hundred seventy-two million, four hundred twenty thousand, five hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 147 161 189 207 441 483 621 1127 1323 1449 3381 4347 10143 12239 30429 36717 85673 110151 257019 281497 330453 599711 771057 844491 1799133 1970479 2313171 2533473 5397399 5911437 7600419 13793353 16192197 17734311 41380059 53202933 124140177 372420531