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392472 = 23332379
BaseRepresentation
bin1011111110100011000
3201221101000
41133310120
5100024342
612225000
73223143
oct1376430
9657330
10392472
11248963
1216b160
13109842
14a305a
157b44c
hex5fd18

392472 has 64 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 123552.

The previous prime is 392467. The next prime is 392473. The reversal of 392472 is 274293.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392473) by changing a digit.

392472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 4929 + ... + 5007.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2392472 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 392472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

392472 is an abundant number, since it is smaller than the sum of its proper divisors (759528).

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

392472 is a wasteful number, since it uses less digits than its factorization.

392472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 392472 is about 626.4758574758. The cubic root of 392472 is about 73.2154764374.

The spelling of 392472 in words is "three hundred ninety-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 79 92 108 138 158 184 207 216 237 276 316 414 474 552 621 632 711 828 948 1242 1422 1656 1817 1896 2133 2484 2844 3634 4266 4968 5451 5688 7268 8532 10902 14536 16353 17064 21804 32706 43608 49059 65412 98118 130824 196236 392472