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1942042272 = 253157269479
BaseRepresentation
bin111001111000001…
…0011011010100000
312000100021222011120
41303300103122200
512434130323042
6520412412240
766061041552
oct16360233240
95010258146
101942042272
11907261115
12462477080
1324c463b51
14145ccd4d2
15b5764dec
hex73c136a0

1942042272 has 96 divisors (see below), whose sum is σ = 5160153600. Its totient is φ = 639495168.

The previous prime is 1942042183. The next prime is 1942042301. The reversal of 1942042272 is 2722402491.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054129 + ... + 4054607.

It is an arithmetic number, because the mean of its divisors is an integer number (53751600).

Almost surely, 21942042272 is an apocalyptic number.

1942042272 is a gapful number since it is divisible by the number (12) 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 1942042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580076800).

1942042272 is an abundant number, since it is smaller than the sum of its proper divisors (3218111328).

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

1942042272 is a wasteful number, since it uses less digits than its factorization.

1942042272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1942042272 is about 44068.6086914484. The cubic root of 1942042272 is about 1247.6311985527.

The spelling of 1942042272 in words is "one billion, nine hundred forty-two million, forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 269 314 471 479 538 628 807 942 958 1076 1256 1437 1614 1884 1916 2152 2512 2874 3228 3768 3832 4304 5024 5748 6456 7536 7664 8608 11496 12912 15072 15328 22992 25824 42233 45984 75203 84466 126699 128851 150406 168932 225609 253398 257702 300812 337864 386553 451218 506796 515404 601624 675728 773106 902436 1013592 1030808 1203248 1351456 1546212 1804872 2027184 2061616 2406496 3092424 3609744 4054368 4123232 6184848 7219488 12369696 20229607 40459214 60688821 80918428 121377642 161836856 242755284 323673712 485510568 647347424 971021136 1942042272