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1921273248 = 253371314129
BaseRepresentation
bin111001010000100…
…0100110110100000
311221220012210102110
41302201010312200
512413321220443
6514351315320
765416360506
oct16241046640
94856183373
101921273248
118a6566034
1245751bb40
1324807169b
14143244676
15b3a11233
hex72844da0

1921273248 has 96 divisors (see below), whose sum is σ = 5220452160. Its totient is φ = 618209280.

The previous prime is 1921273247. The next prime is 1921273279. The reversal of 1921273248 is 8423721291.

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

It is not an unprimeable number, because it can be changed into a prime (1921273247) 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, 463248 + ... + 467376.

It is an arithmetic number, because the mean of its divisors is an integer number (54379710).

Almost surely, 21921273248 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 1921273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610226080).

1921273248 is an abundant number, since it is smaller than the sum of its proper divisors (3299178912).

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

1921273248 is a wasteful number, since it uses less digits than its factorization.

1921273248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4302 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1921273248 is about 43832.3310810639. The cubic root of 1921273248 is about 1243.1676831705.

The spelling of 1921273248 in words is "one billion, nine hundred twenty-one million, two hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 131 148 222 262 296 393 444 524 592 786 888 1048 1184 1572 1776 2096 3144 3552 4129 4192 4847 6288 8258 9694 12387 12576 14541 16516 19388 24774 29082 33032 38776 49548 58164 66064 77552 99096 116328 132128 152773 155104 198192 232656 305546 396384 458319 465312 540899 611092 916638 1081798 1222184 1622697 1833276 2163596 2444368 3245394 3666552 4327192 4888736 6490788 7333104 8654384 12981576 14666208 17308768 20013263 25963152 40026526 51926304 60039789 80053052 120079578 160106104 240159156 320212208 480318312 640424416 960636624 1921273248