Search a number
-
+
30537972 = 223494253
BaseRepresentation
bin111010001111…
…1100011110100
32010110111020000
41310133203310
530304203342
63010311300
7520365663
oct164374364
963414200
1030537972
11162686a3
12a288530
136432b0a
1440acdda
152a3344c
hex1d1f8f4

30537972 has 30 divisors (see below), whose sum is σ = 79833138. Its totient is φ = 10179216.

The previous prime is 30537971. The next prime is 30537973. The reversal of 30537972 is 27973503.

It is a happy number.

30537972 is a `hidden beast` number, since 30 + 537 + 97 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30537971) and next prime (30537973).

It can be written as a sum of positive squares in only one way, i.e., 30536676 + 1296 = 5526^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30537971) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 46803 + ... + 47450.

Almost surely, 230537972 is an apocalyptic number.

It is an amenable number.

30537972 is an abundant number, since it is smaller than the sum of its proper divisors (49295166).

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

30537972 is a wasteful number, since it uses less digits than its factorization.

30537972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94269 (or 94258 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 30537972 is about 5526.1172625995. The cubic root of 30537972 is about 312.5695955928.

It can be divided in two parts, 3053 and 7972, that added together give a square (11025 = 1052).

The spelling of 30537972 in words is "thirty million, five hundred thirty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 94253 188506 282759 377012 565518 848277 1131036 1696554 2544831 3393108 5089662 7634493 10179324 15268986 30537972