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93201381 = 3372135419
BaseRepresentation
bin1011000111000…
…10001111100101
320111101010021000
411203202033211
5142324421011
613125343513
72211125100
oct543421745
9214333230
1093201381
1148678639
1227267b99
1316403160
14c541737
1582b0356
hex58e23e5

93201381 has 48 divisors (see below), whose sum is σ = 173006400. Its totient is φ = 49152096.

The previous prime is 93201377. The next prime is 93201419. The reversal of 93201381 is 18310239.

It is not a de Polignac number, because 93201381 - 22 = 93201377 is a prime.

It is a super-2 number, since 2×932013812 = 17372994840614322, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93201481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14490 + ... + 19908.

It is an arithmetic number, because the mean of its divisors is an integer number (3604300).

Almost surely, 293201381 is an apocalyptic number.

93201381 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

93201381 is a deficient number, since it is larger than the sum of its proper divisors (79805019).

93201381 is a wasteful number, since it uses less digits than its factorization.

93201381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 93201381 is about 9654.0862333004. The cubic root of 93201381 is about 453.3922745715.

It can be divided in two parts, 9320 and 1381, that added together give a palindrome (10701).

The spelling of 93201381 in words is "ninety-three million, two hundred one thousand, three hundred eighty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 5419 5733 16257 17199 37933 48771 70447 113799 146313 211341 265531 341397 493129 634023 796593 1024191 1479387 1902069 2389779 3451903 4438161 7169337 10355709 13314483 31067127 93201381