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2474292942 = 2321122349393
BaseRepresentation
bin1001001101111010…
…1011011011001110
320101102211002211100
42103132223123032
520031404333232
61045304403530
7115213100022
oct22336533316
96342732740
102474292942
11105a745a00
125907765a6
133057cb484
1419687c382
15e734dc7c
hex937ab6ce

2474292942 has 72 divisors (see below), whose sum is σ = 6148960272. Its totient is φ = 717171840.

The previous prime is 2474292941. The next prime is 2474292973. The reversal of 2474292942 is 2492924742.

2474292942 is a `hidden beast` number, since 2 + 474 + 2 + 92 + 94 + 2 = 666.

It is a super-2 number, since 2×24742929422 = 12244251125662030728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2474292941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25398 + ... + 74790.

It is an arithmetic number, because the mean of its divisors is an integer number (85402226).

Almost surely, 22474292942 is an apocalyptic number.

2474292942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2474292942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074480136).

2474292942 is an abundant number, since it is smaller than the sum of its proper divisors (3674667330).

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

2474292942 is a wasteful number, since it uses less digits than its factorization.

2474292942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49446 (or 49432 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2474292942 is about 49742.2651474579. The cubic root of 2474292942 is about 1352.5407920110.

The spelling of 2474292942 in words is "two billion, four hundred seventy-four million, two hundred ninety-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 363 414 506 726 759 1089 1518 2178 2277 2783 4554 5566 8349 16698 25047 49393 50094 98786 148179 296358 444537 543323 889074 1086646 1136039 1629969 2272078 3259938 3408117 4889907 5976553 6816234 9779814 10224351 11953106 12496429 17929659 20448702 24992858 35859318 37489287 53788977 74978574 107577954 112467861 137460719 224935722 274921438 412382157 824764314 1237146471 2474292942