Search a number
-
+
1047478272 = 2143101211
BaseRepresentation
bin111110011011110…
…100000000000000
32201000000102001120
4332123310000000
54121123301042
6251535032240
734646263341
oct7633640000
92630012046
101047478272
11498301a25
1225296b680
13139021839
149d18a0c8
1561e5ddec
hex3e6f4000

1047478272 has 120 divisors (see below), whose sum is σ = 2834214432. Its totient is φ = 344064000.

The previous prime is 1047478253. The next prime is 1047478277. The reversal of 1047478272 is 2728747401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047478277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4964247 + ... + 4964457.

Almost surely, 21047478272 is an apocalyptic number.

1047478272 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 1047478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417107216).

1047478272 is an abundant number, since it is smaller than the sum of its proper divisors (1786736160).

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

1047478272 is an equidigital number, since it uses as much as digits as its factorization.

1047478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The square root of 1047478272 is about 32364.7689934595. The cubic root of 1047478272 is about 1015.5820299068.

The spelling of 1047478272 in words is "one billion, forty-seven million, four hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 211 256 303 384 404 422 512 606 633 768 808 844 1024 1212 1266 1536 1616 1688 2048 2424 2532 3072 3232 3376 4096 4848 5064 6144 6464 6752 8192 9696 10128 12288 12928 13504 16384 19392 20256 21311 24576 25856 27008 38784 40512 42622 49152 51712 54016 63933 77568 81024 85244 103424 108032 127866 155136 162048 170488 206848 216064 255732 310272 324096 340976 413696 432128 511464 620544 648192 681952 827392 864256 1022928 1241088 1296384 1363904 1654784 1728512 2045856 2482176 2592768 2727808 3457024 4091712 4964352 5185536 5455616 8183424 10371072 10911232 16366848 21822464 32733696 43644928 65467392 87289856 130934784 174579712 261869568 349159424 523739136 1047478272