Search a number
-
+
46725632 = 29263347
BaseRepresentation
bin1011001000111…
…1101000000000
310020220220111222
42302033220000
543430210012
64345254212
71105106222
oct262175000
9106826458
1046725632
1124414728
1213794368
1398acc05
1462c4412
15417e972
hex2c8fa00

46725632 has 40 divisors (see below), whose sum is σ = 93985056. Its totient is φ = 23206912.

The previous prime is 46725619. The next prime is 46725643. The reversal of 46725632 is 23652764.

It is a junction number, because it is equal to n+sod(n) for n = 46725592 and 46725601.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134483 + ... + 134829.

Almost surely, 246725632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46992528).

46725632 is an abundant number, since it is smaller than the sum of its proper divisors (47259424).

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

46725632 is an equidigital number, since it uses as much as digits as its factorization.

46725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 612 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 46725632 is about 6835.6149686769. The cubic root of 46725632 is about 360.1790056271.

The spelling of 46725632 in words is "forty-six million, seven hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 263 347 512 526 694 1052 1388 2104 2776 4208 5552 8416 11104 16832 22208 33664 44416 67328 88832 91261 134656 177664 182522 365044 730088 1460176 2920352 5840704 11681408 23362816 46725632