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2426155728 = 243317920639
BaseRepresentation
bin1001000010011100…
…0011001011010000
320021002020110222120
42100213003023100
514432043440403
61040424534240
7114056661213
oct22047031320
96232213876
102426155728
111035557787
12578621380
132c8845c09
1419030b77a
15e2ee0e53
hex909c32d0

2426155728 has 80 divisors (see below), whose sum is σ = 6551961600. Its totient is φ = 772686720.

The previous prime is 2426155727. The next prime is 2426155729. The reversal of 2426155728 is 8275516242.

It is an interprime number because it is at equal distance from previous prime (2426155727) and next prime (2426155729).

It is a self number, because there is not a number n which added to its sum of digits gives 2426155728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426155727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107233 + ... + 127871.

It is an arithmetic number, because the mean of its divisors is an integer number (81899520).

Almost surely, 22426155728 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 2426155728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275980800).

2426155728 is an abundant number, since it is smaller than the sum of its proper divisors (4125805872).

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

2426155728 is a wasteful number, since it uses less digits than its factorization.

2426155728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20760 (or 20754 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 2426155728 is about 49256.0222510913. The cubic root of 2426155728 is about 1343.7120893346.

The spelling of 2426155728 in words is "two billion, four hundred twenty-six million, one hundred fifty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 237 248 316 372 474 496 632 744 948 1264 1488 1896 2449 3792 4898 7347 9796 14694 19592 20639 29388 39184 41278 58776 61917 82556 117552 123834 165112 247668 330224 495336 639809 990672 1279618 1630481 1919427 2559236 3260962 3838854 4891443 5118472 6521924 7677708 9782886 10236944 13043848 15355416 19565772 26087696 30710832 39131544 50544911 78263088 101089822 151634733 202179644 303269466 404359288 606538932 808718576 1213077864 2426155728