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2938554040 = 2351714093067
BaseRepresentation
bin1010111100100110…
…1100011010111000
321120210102000022211
42233021230122320
522004232212130
61203331224504
7132551203642
oct25711543270
97523360284
102938554040
111278812164
126a0148134
1337aa4c396
141dc3ad892
15122ea7a2a
hexaf26c6b8

2938554040 has 64 divisors (see below), whose sum is σ = 7007925600. Its totient is φ = 1105133568.

The previous prime is 2938554013. The next prime is 2938554043. The reversal of 2938554040 is 404558392.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2938553984 and 2938554002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938554043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 956587 + ... + 959653.

Almost surely, 22938554040 is an apocalyptic number.

2938554040 is a gapful number since it is divisible by the number (20) 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 2938554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503962800).

2938554040 is an abundant number, since it is smaller than the sum of its proper divisors (4069371560).

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

2938554040 is a wasteful number, since it uses less digits than its factorization.

2938554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 2938554040 is about 54208.4314475156. The cubic root of 2938554040 is about 1432.3348558388.

The spelling of 2938554040 in words is "two billion, nine hundred thirty-eight million, five hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1409 2818 3067 5636 6134 7045 11272 12268 14090 15335 23953 24536 28180 30670 47906 52139 56360 61340 95812 104278 119765 122680 191624 208556 239530 260695 417112 479060 521390 958120 1042780 2085560 4321403 8642806 17285612 21607015 34571224 43214030 73463851 86428060 146927702 172856120 293855404 367319255 587710808 734638510 1469277020 2938554040