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2542442100 = 2235211770437
BaseRepresentation
bin1001011110001010…
…1001011001110100
320120012001102220020
42113202221121310
520201331121400
61100141205140
7120001254432
oct22742513164
96505042806
102542442100
111095162420
125ab5607b0
1331696c713
141a193bd52
15ed3112a0
hex978a9674

2542442100 has 72 divisors (see below), whose sum is σ = 8024882208. Its totient is φ = 616348800.

The previous prime is 2542442059. The next prime is 2542442131. The reversal of 2542442100 is 12442452.

It is a happy number.

2542442100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381919 + ... + 388518.

Almost surely, 22542442100 is an apocalyptic number.

2542442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542442100 is an abundant number, since it is smaller than the sum of its proper divisors (5482440108).

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

2542442100 is a wasteful number, since it uses less digits than its factorization.

2542442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770465 (or 770458 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2542442100 is about 50422.6347982729. The cubic root of 2542442100 is about 1364.8461230826.

Adding to 2542442100 its reverse (12442452), we get a palindrome (2554884552).

The spelling of 2542442100 in words is "two billion, five hundred forty-two million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 770437 1540874 2311311 3081748 3852185 4622622 7704370 8474807 9245244 11556555 15408740 16949614 19260925 23113110 25424421 33899228 38521850 42374035 46226220 50848842 57782775 77043700 84748070 101697684 115565550 127122105 169496140 211870175 231131100 254244210 423740350 508488420 635610525 847480700 1271221050 2542442100