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940290048 = 21232231109
BaseRepresentation
bin111000000010111…
…011000000000000
32102112022200110100
4320002323000000
53411203240143
6233145402400
732205222255
oct7002730000
92375280410
10940290048
11442850915
12222a99400
1311ca62259
148cc4742c
15578396d3
hex380bb000

940290048 has 156 divisors (see below), whose sum is σ = 2836707120. Its totient is φ = 299532288.

The previous prime is 940290019. The next prime is 940290067. The reversal of 940290048 is 840092049.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 940289994 and 940290021.

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, 847318 + ... + 848426.

It is an arithmetic number, because the mean of its divisors is an integer number (18184020).

Almost surely, 2940290048 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 940290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418353560).

940290048 is an abundant number, since it is smaller than the sum of its proper divisors (1896417072).

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

940290048 is a wasteful number, since it uses less digits than its factorization.

940290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 940290048 is about 30664.1492300047. The cubic root of 940290048 is about 979.6868526067.

The spelling of 940290048 in words is "nine hundred forty million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1109 1152 1472 1536 1656 2048 2208 2218 2304 2944 3072 3312 3327 4096 4416 4436 4608 5888 6144 6624 6654 8832 8872 9216 9981 11776 12288 13248 13308 17664 17744 18432 19962 23552 25507 26496 26616 35328 35488 36864 39924 47104 51014 52992 53232 70656 70976 76521 79848 94208 102028 105984 106464 141312 141952 153042 159696 204056 211968 212928 229563 282624 283904 306084 319392 408112 423936 425856 459126 567808 612168 638784 816224 847872 851712 918252 1135616 1224336 1277568 1632448 1703424 1836504 2271232 2448672 2555136 3264896 3406848 3673008 4542464 4897344 5110272 6529792 6813696 7346016 9794688 10220544 13059584 13627392 14692032 19589376 20441088 26119168 29384064 39178752 40882176 52238336 58768128 78357504 104476672 117536256 156715008 235072512 313430016 470145024 940290048