Search a number
-
+
7642438452 = 223511714781
BaseRepresentation
bin1110001111000011…
…00101101100110100
3201201121121002200000
413013201211230310
5111122431012302
63302203551300
7360246440445
oct70741455464
921647532600
107642438452
113271a59140
12159352b530
1394a44023c
14526dcd2cc
152eae1b31c
hex1c7865b34

7642438452 has 72 divisors (see below), whose sum is σ = 21855174432. Its totient is φ = 2315887200.

The previous prime is 7642438423. The next prime is 7642438471. The reversal of 7642438452 is 2548342467.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7642438398 and 7642438407.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 346699 + ... + 368082.

Almost surely, 27642438452 is an apocalyptic number.

It is an amenable number.

7642438452 is an abundant number, since it is smaller than the sum of its proper divisors (14212735980).

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

7642438452 is a wasteful number, since it uses less digits than its factorization.

7642438452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714811 (or 714797 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 7642438452 is about 87421.0412429410. The cubic root of 7642438452 is about 1969.7479172753.

The spelling of 7642438452 in words is "seven billion, six hundred forty-two million, four hundred thirty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 714781 1429562 2144343 2859124 4288686 6433029 7862591 8577372 12866058 15725182 19299087 23587773 25732116 31450364 38598174 47175546 57897261 70763319 77196348 94351092 115794522 141526638 173691783 212289957 231589044 283053276 347383566 424579914 636869871 694767132 849159828 1273739742 1910609613 2547479484 3821219226 7642438452