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492372072 = 23328538017
BaseRepresentation
bin11101010110010…
…000000001101000
31021022111002111200
4131112100001220
52002021401242
6120505124200
715126044043
oct3526200150
91238432450
10492372072
11232a27475
12118a89660
137b01412a
144956bc5a
152d35d04c
hex1d590068

492372072 has 48 divisors (see below), whose sum is σ = 1335237540. Its totient is φ = 163911168.

The previous prime is 492372043. The next prime is 492372077. The reversal of 492372072 is 270273294.

It can be written as a sum of positive squares in 2 ways, for example, as 466300836 + 26071236 = 21594^2 + 5106^2 .

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

It is not an unprimeable number, because it can be changed into a prime (492372077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57408 + ... + 65424.

Almost surely, 2492372072 is an apocalyptic number.

It is an amenable number.

492372072 is an abundant number, since it is smaller than the sum of its proper divisors (842865468).

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

492372072 is a wasteful number, since it uses less digits than its factorization.

492372072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 492372072 is about 22189.4585783430. The cubic root of 492372072 is about 789.6436313938.

The spelling of 492372072 in words is "four hundred ninety-two million, three hundred seventy-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 853 1706 2559 3412 5118 6824 7677 8017 10236 15354 16034 20472 24051 30708 32068 48102 61416 64136 72153 96204 144306 192408 288612 577224 6838501 13677002 20515503 27354004 41031006 54708008 61546509 82062012 123093018 164124024 246186036 492372072