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2474444742 = 2371123337691
BaseRepresentation
bin1001001101111101…
…0000011111000110
320101110002211001120
42103133100133012
520031424212432
61045311534410
7115214301420
oct22337203706
96343084046
102474444742
11105a839a60
1259082a406
133058525b3
141968bb810
15e737dc2c
hex937d07c6

2474444742 has 128 divisors (see below), whose sum is σ = 6466756608. Its totient is φ = 612057600.

The previous prime is 2474444723. The next prime is 2474444773.

2474444742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24744447422 = 12245753562422893128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2474444694 and 2474444703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3580617 + ... + 3581307.

It is an arithmetic number, because the mean of its divisors is an integer number (50521536).

Almost surely, 22474444742 is an apocalyptic number.

2474444742 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 2474444742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233378304).

2474444742 is an abundant number, since it is smaller than the sum of its proper divisors (3992311866).

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

2474444742 is a wasteful number, since it uses less digits than its factorization.

2474444742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074.

The product of its digits is 802816, while the sum is 42.

The square root of 2474444742 is about 49743.7909894290. The cubic root of 2474444742 is about 1352.5684512923.

The spelling of 2474444742 in words is "two billion, four hundred seventy-four million, four hundred forty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 337 462 483 506 674 691 759 966 1011 1382 1518 1771 2022 2073 2359 3542 3707 4146 4718 4837 5313 7077 7414 7601 7751 9674 10626 11121 14154 14511 15202 15502 15893 22242 22803 23253 25949 29022 31786 45606 46506 47679 51898 53207 54257 77847 85261 95358 106414 108514 111251 155694 159621 162771 170522 174823 222502 232867 255783 319242 325542 333753 349646 465734 511566 524469 596827 667506 698601 1048938 1193654 1223761 1397202 1630069 1790481 2447522 2561537 3260138 3580962 3671283 4890207 5123074 5355941 7342566 7684611 9780414 10711882 15369222 16067823 17930759 32135646 35861518 37491587 53792277 58915351 74983174 107584554 112474761 117830702 176746053 224949522 353492106 412407457 824814914 1237222371 2474444742