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4290998272 = 21211131727
BaseRepresentation
bin1111111111000011…
…0111000000000000
3102002001021022000221
43333300313000000
532241443421042
61545442552424
7211222612021
oct37760670000
912061238027
104290998272
11190217a570
129b9068714
13534cba142
142c9c62c48
151a1aa6d67
hexffc37000

4290998272 has 104 divisors (see below), whose sum is σ = 9445468032. Its totient is φ = 1932902400.

The previous prime is 4290998267. The next prime is 4290998273. The reversal of 4290998272 is 2728990924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290998273) 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, 5901973 + ... + 5902699.

It is an arithmetic number, because the mean of its divisors is an integer number (90821808).

Almost surely, 24290998272 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 4290998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722734016).

4290998272 is an abundant number, since it is smaller than the sum of its proper divisors (5154469760).

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

4290998272 is a wasteful number, since it uses less digits than its factorization.

4290998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 4290998272 is about 65505.7117509611. The cubic root of 4290998272 is about 1624.9978094803.

The spelling of 4290998272 in words is "four billion, two hundred ninety million, nine hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 262 352 512 524 704 727 1024 1048 1408 1441 1454 2048 2096 2816 2882 2908 4096 4192 5632 5764 5816 7997 8384 11264 11528 11632 15994 16768 22528 23056 23264 31988 33536 45056 46112 46528 63976 67072 92224 93056 95237 127952 134144 184448 186112 190474 255904 268288 368896 372224 380948 511808 536576 737792 744448 761896 1023616 1047607 1475584 1488896 1523792 2047232 2095214 2951168 2977792 3047584 4094464 4190428 5902336 6095168 8188928 8380856 12190336 16377856 16761712 24380672 32755712 33523424 48761344 67046848 97522688 134093696 195045376 268187392 390090752 536374784 1072749568 2145499136 4290998272