Search a number
-
+
1928950896 = 243371318291
BaseRepresentation
bin111001011111001…
…0111010001110000
311222102122212011210
41302332113101300
512422302412041
6515224040120
765541545355
oct16276272160
94872585153
101928950896
118aa92a3a4
1245a003040
1324982c182
1414428262c
15b452b016
hex72f97470

1928950896 has 80 divisors (see below), whose sum is σ = 5157491328. Its totient is φ = 620755200.

The previous prime is 1928950879. The next prime is 1928950901. The reversal of 1928950896 is 6980598291.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228511 + ... + 236801.

Almost surely, 21928950896 is an apocalyptic number.

1928950896 is a gapful number since it is divisible by the number (16) 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 1928950896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578745664).

1928950896 is an abundant number, since it is smaller than the sum of its proper divisors (3228540432).

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

1928950896 is a wasteful number, since it uses less digits than its factorization.

1928950896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The square root of 1928950896 is about 43919.8234969131. The cubic root of 1928950896 is about 1244.8214333987.

The spelling of 1928950896 in words is "one billion, nine hundred twenty-eight million, nine hundred fifty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 131 148 222 262 296 393 444 524 592 786 888 1048 1572 1776 2096 3144 4847 6288 8291 9694 14541 16582 19388 24873 29082 33164 38776 49746 58164 66328 77552 99492 116328 132656 198984 232656 306767 397968 613534 920301 1086121 1227068 1840602 2172242 2454136 3258363 3681204 4344484 4908272 6516726 7362408 8688968 13033452 14724816 17377936 26066904 40186477 52133808 80372954 120559431 160745908 241118862 321491816 482237724 642983632 964475448 1928950896