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2942048688 = 243599471097
BaseRepresentation
bin1010111101011100…
…0001100110110000
321121000222120002020
42233113001212300
522011131024223
61203534151440
7132623000265
oct25727014660
97530876066
102942048688
11127a7897a7
126a1352580
1337b6a3c17
141dca3d26c
151234481e3
hexaf5c19b0

2942048688 has 80 divisors (see below), whose sum is σ = 7744325760. Its totient is φ = 962165248.

The previous prime is 2942048687. The next prime is 2942048689. The reversal of 2942048688 is 8868402492.

2942048688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2942048687) and next prime (2942048689).

It is a self number, because there is not a number n which added to its sum of digits gives 2942048688.

It is not an unprimeable number, because it can be changed into a prime (2942048687) 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, 2681356 + ... + 2682452.

It is an arithmetic number, because the mean of its divisors is an integer number (96804072).

Almost surely, 22942048688 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 2942048688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872162880).

2942048688 is an abundant number, since it is smaller than the sum of its proper divisors (4802277072).

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

2942048688 is a wasteful number, since it uses less digits than its factorization.

2942048688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 2942048688 is about 54240.6553057759. The cubic root of 2942048688 is about 1432.9024278635.

The spelling of 2942048688 in words is "two billion, nine hundred forty-two million, forty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 947 1097 1416 1894 2194 2832 2841 3291 3788 4388 5682 6582 7576 8776 11364 13164 15152 17552 22728 26328 45456 52656 55873 64723 111746 129446 167619 194169 223492 258892 335238 388338 446984 517784 670476 776676 893968 1035568 1038859 1340952 1553352 2077718 2681904 3106704 3116577 4155436 6233154 8310872 12466308 16621744 24932616 49865232 61292681 122585362 183878043 245170724 367756086 490341448 735512172 980682896 1471024344 2942048688