Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
4976640 = 212355
BaseRepresentation
bin10010111111000000000000
3100100211200000
4102333000000
52233223030
6254400000
760205104
oct22770000
910324600
104976640
11289a029
121800000
131053276
14937904
15684860
hex4bf000

4976640 has 156 divisors (see below), whose sum is σ = 17889144. Its totient is φ = 1327104.

The previous prime is 4976639. The next prime is 4976663. The reversal of 4976640 is 466794.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)2 ⋅ 3! ⋅ 2!.

4976640 is a `hidden beast` number, since 4 + 9 + 7 + 6 + 640 = 666.

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 4976595 and 4976604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995326 + ... + 995330.

It is an arithmetic number, because the mean of its divisors is an integer number (114674).

Almost surely, 24976640 is an apocalyptic number.

4976640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944572).

4976640 is an abundant number, since it is smaller than the sum of its proper divisors (12912504).

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

4976640 is an frugal number, since it uses more digits than its factorization.

4976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4976640 is about 2230.8384074155. The cubic root of 4976640 is about 170.7308786155.

The spelling of 4976640 in words is "four million, nine hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 256 270 288 320 324 360 384 405 432 480 486 512 540 576 640 648 720 768 810 864 960 972 1024 1080 1152 1215 1280 1296 1440 1536 1620 1728 1920 1944 2048 2160 2304 2430 2560 2592 2880 3072 3240 3456 3840 3888 4096 4320 4608 4860 5120 5184 5760 6144 6480 6912 7680 7776 8640 9216 9720 10240 10368 11520 12288 12960 13824 15360 15552 17280 18432 19440 20480 20736 23040 25920 27648 30720 31104 34560 36864 38880 41472 46080 51840 55296 61440 62208 69120 77760 82944 92160 103680 110592 124416 138240 155520 165888 184320 207360 248832 276480 311040 331776 414720 497664 552960 622080 829440 995328 1244160 1658880 2488320 4976640