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5742972416 = 2947923417
BaseRepresentation
bin1010101100100111…
…01100111000000000
3112211020102020010002
411112103230320000
543230200104131
62345511455132
7262213313546
oct52623547000
915736366102
105742972416
1124878381a5
1211433874a8
13706a6573c
143c6a23d96
152392b66cb
hex1564ece00

5742972416 has 40 divisors (see below), whose sum is σ = 11499174720. Its totient is φ = 2865369088.

The previous prime is 5742972383. The next prime is 5742972421. The reversal of 5742972416 is 6142792475.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233540 + ... + 256956.

It is an arithmetic number, because the mean of its divisors is an integer number (287479368).

Almost surely, 25742972416 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 5742972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749587360).

5742972416 is an abundant number, since it is smaller than the sum of its proper divisors (5756202304).

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

5742972416 is an equidigital number, since it uses as much as digits as its factorization.

5742972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23914 (or 23898 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The square root of 5742972416 is about 75782.4017566084. The cubic root of 5742972416 is about 1790.7937779669.

The spelling of 5742972416 in words is "five billion, seven hundred forty-two million, nine hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 479 512 958 1916 3832 7664 15328 23417 30656 46834 61312 93668 122624 187336 245248 374672 749344 1498688 2997376 5994752 11216743 11989504 22433486 44866972 89733944 179467888 358935776 717871552 1435743104 2871486208 5742972416