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4372992 = 29321373
BaseRepresentation
bin10000101011101000000000
322020011121200
4100223220000
52104413432
6233421200
752112151
oct20535000
98204550
104372992
112517548
12156a800
13ba1590
1481b928
155b5a7c
hex42ba00

4372992 has 120 divisors (see below), whose sum is σ = 13777764. Its totient is φ = 1327104.

The previous prime is 4372981. The next prime is 4373003. The reversal of 4372992 is 2992734.

It is an interprime number because it is at equal distance from previous prime (4372981) and next prime (4373003).

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 112896 = 2064^2 + 336^2 .

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

It is a d-powerful number, because it can be written as 411 + 311 + 72 + 2 + 93 + 93 + 25 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59868 + ... + 59940.

Almost surely, 24372992 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 4372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888882).

4372992 is an abundant number, since it is smaller than the sum of its proper divisors (9404772).

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

4372992 is a wasteful number, since it uses less digits than its factorization.

4372992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4372992 is about 2091.1700074360. The cubic root of 4372992 is about 163.5282895807.

The spelling of 4372992 in words is "four million, three hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 73 78 96 104 117 128 144 146 156 192 208 219 234 256 288 292 312 384 416 438 468 512 576 584 624 657 768 832 876 936 949 1152 1168 1248 1314 1536 1664 1752 1872 1898 2304 2336 2496 2628 2847 3328 3504 3744 3796 4608 4672 4992 5256 5694 6656 7008 7488 7592 8541 9344 9984 10512 11388 14016 14976 15184 17082 18688 19968 21024 22776 28032 29952 30368 34164 37376 42048 45552 56064 59904 60736 68328 84096 91104 112128 121472 136656 168192 182208 242944 273312 336384 364416 485888 546624 728832 1093248 1457664 2186496 4372992