Search a number
-
+
32672052 = 22337231879
BaseRepresentation
bin111110010100…
…0100100110100
32021110220122000
41330220210310
531331001202
63124135300
7544464540
oct174504464
967426560
1032672052
1117495aa6
12ab37530
1369cc29a
1444a6a20
152d0591c
hex1f28934

32672052 has 96 divisors (see below), whose sum is σ = 101068800. Its totient is φ = 8924256.

The previous prime is 32672041. The next prime is 32672063. The reversal of 32672052 is 25027623.

It is an interprime number because it is at equal distance from previous prime (32672041) and next prime (32672063).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16449 + ... + 18327.

It is an arithmetic number, because the mean of its divisors is an integer number (1052800).

Almost surely, 232672052 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 32672052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50534400).

32672052 is an abundant number, since it is smaller than the sum of its proper divisors (68396748).

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

32672052 is a wasteful number, since it uses less digits than its factorization.

32672052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 32672052 is about 5715.9471656061. The cubic root of 32672052 is about 319.6873639287.

Adding to 32672052 its reverse (25027623), we get a palindrome (57699675).

The spelling of 32672052 in words is "thirty-two million, six hundred seventy-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1879 1932 2484 2898 3758 4347 5637 5796 7516 8694 11274 13153 16911 17388 22548 26306 33822 39459 43217 50733 52612 67644 78918 86434 101466 118377 129651 157836 172868 202932 236754 259302 302519 355131 388953 473508 518604 605038 710262 777906 907557 1166859 1210076 1420524 1555812 1815114 2333718 2722671 3630228 4667436 5445342 8168013 10890684 16336026 32672052