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941642496 = 283515137
BaseRepresentation
bin111000001000000…
…101001100000000
32102121212101200000
4320020011030000
53412030024441
6233234400000
732222554254
oct7010051400
92377771600
10941642496
11443594a43
12223430000
13120116a12
148d0ba264
1557a052b6
hex38205300

941642496 has 108 divisors (see below), whose sum is σ = 2815728552. Its totient is φ = 313860096.

The previous prime is 941642491. The next prime is 941642503. The reversal of 941642496 is 694246149.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×9416424962 = 1773381180546220032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (941642491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54640 + ... + 69776.

Almost surely, 2941642496 is an apocalyptic number.

941642496 is a gapful number since it is divisible by the number (96) 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 941642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407864276).

941642496 is an abundant number, since it is smaller than the sum of its proper divisors (1874086056).

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

941642496 is an equidigital number, since it uses as much as digits as its factorization.

941642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168 (or 15142 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 941642496 is about 30686.1938988855. The cubic root of 941642496 is about 980.1563321336.

The spelling of 941642496 in words is "nine hundred forty-one million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15137 15552 20736 30274 31104 45411 60548 62208 90822 121096 136233 181644 242192 272466 363288 408699 484384 544932 726576 817398 968768 1089864 1226097 1453152 1634796 1937536 2179728 2452194 2906304 3269592 3678291 3875072 4359456 4904388 5812608 6539184 7356582 8718912 9808776 11625216 13078368 14713164 17437824 19617552 26156736 29426328 34875648 39235104 52313472 58852656 78470208 104626944 117705312 156940416 235410624 313880832 470821248 941642496