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1938358272 = 21639859
BaseRepresentation
bin111001110001001…
…0000000000000000
312000002100210200010
41303202100000000
512432204431042
6520201424520
766014526204
oct16342200000
95002323603
101938358272
11905175294
1246119b140
1324b774076
14145610b04
15b528859c
hex73890000

1938358272 has 68 divisors (see below), whose sum is σ = 5169440240. Its totient is φ = 646053888.

The previous prime is 1938358237. The next prime is 1938358273. The reversal of 1938358272 is 2728538391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1938358273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191679 + ... + 201537.

It is an arithmetic number, because the mean of its divisors is an integer number (76021180).

Almost surely, 21938358272 is an apocalyptic number.

1938358272 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 1938358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584720120).

1938358272 is an abundant number, since it is smaller than the sum of its proper divisors (3231081968).

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

1938358272 is an frugal number, since it uses more digits than its factorization.

1938358272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9894 (or 9864 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1938358272 is about 44026.7903894890. The cubic root of 1938358272 is about 1246.8417919913.

The spelling of 1938358272 in words is "one billion, nine hundred thirty-eight million, three hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 9859 12288 16384 19718 24576 29577 32768 39436 49152 59154 65536 78872 98304 118308 157744 196608 236616 315488 473232 630976 946464 1261952 1892928 2523904 3785856 5047808 7571712 10095616 15143424 20191232 30286848 40382464 60573696 80764928 121147392 161529856 242294784 323059712 484589568 646119424 969179136 1938358272