Search a number
-
+
7485534342 = 23211134367631
BaseRepresentation
bin1101111100010110…
…00011000010000110
3201022200100112200200
412332023003002012
5110312244044332
63234440551330
7353332664166
oct67613030206
921280315620
107485534342
1131a1430820
12154aa82546
13923a94980
145102285a6
152dc27617c
hex1be2c3086

7485534342 has 96 divisors (see below), whose sum is σ = 19497494016. Its totient is φ = 2045131200.

The previous prime is 7485534307. The next prime is 7485534347. The reversal of 7485534342 is 2434355847.

7485534342 is a `hidden beast` number, since 7 + 4 + 85 + 534 + 34 + 2 = 666.

It is a super-2 number, since 2×74855343422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7485534347) 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, 76867 + ... + 144497.

It is an arithmetic number, because the mean of its divisors is an integer number (203098896).

Almost surely, 27485534342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7485534342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9748747008).

7485534342 is an abundant number, since it is smaller than the sum of its proper divisors (12011959674).

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

7485534342 is a wasteful number, since it uses less digits than its factorization.

7485534342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67706 (or 67703 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 7485534342 is about 86518.9825529635. The cubic root of 7485534342 is about 1956.1745409253.

The spelling of 7485534342 in words is "seven billion, four hundred eighty-five million, five hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 43 66 78 86 99 117 129 143 198 234 258 286 387 429 473 559 774 858 946 1118 1287 1419 1677 2574 2838 3354 4257 5031 6149 8514 10062 12298 18447 36894 55341 67631 110682 135262 202893 405786 608679 743941 879203 1217358 1487882 1758406 2231823 2637609 2908133 4463646 5275218 5816266 6695469 7912827 8724399 9671233 13390938 15825654 17448798 19342466 26173197 29013699 31989463 37805729 52346394 58027398 63978926 75611458 87041097 95968389 113417187 174082194 191936778 226834374 287905167 340251561 415863019 575810334 680503122 831726038 1247589057 2495178114 3742767171 7485534342