Search a number
-
+
148031631 = 34111729337
BaseRepresentation
bin10001101001011…
…00100010001111
3101022112210020000
420310230202033
5300344003011
622404455343
73445151046
oct1064544217
9338483200
10148031631
11766183a0
12416aa553
132488cca7
141593555d
15cee1356
hex8d2c88f

148031631 has 80 divisors (see below), whose sum is σ = 265019040. Its totient is φ = 81285120.

The previous prime is 148031627. The next prime is 148031633. The reversal of 148031631 is 136130841.

It is not a de Polignac number, because 148031631 - 22 = 148031627 is a prime.

It is a super-2 number, since 2×1480316312 = 43826727553040322, 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 = 148031595 and 148031604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148031633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 439095 + ... + 439431.

It is an arithmetic number, because the mean of its divisors is an integer number (3312738).

Almost surely, 2148031631 is an apocalyptic number.

148031631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

148031631 is a deficient number, since it is larger than the sum of its proper divisors (116987409).

148031631 is a wasteful number, since it uses less digits than its factorization.

148031631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 148031631 is about 12166.8250172344. The cubic root of 148031631 is about 528.9949280236.

The spelling of 148031631 in words is "one hundred forty-eight million, thirty-one thousand, six hundred thirty-one".

Divisors: 1 3 9 11 17 27 29 33 51 81 87 99 153 187 261 297 319 337 459 493 561 783 891 957 1011 1377 1479 1683 2349 2871 3033 3707 4437 5049 5423 5729 8613 9099 9773 11121 13311 15147 16269 17187 25839 27297 29319 33363 39933 48807 51561 63019 87957 100089 107503 146421 154683 166141 189057 263871 300267 322509 439263 464049 498423 567171 791613 967527 1495269 1701513 1827551 2902581 4485807 5104539 5482653 8707743 13457421 16447959 49343877 148031631