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296072028 = 223274389307
BaseRepresentation
bin10001101001011…
…011001101011100
3202122010000110200
4101221123031130
51101243301103
645213503500
710223366520
oct2151331534
9678100420
10296072028
1114214132a
12831a1b90
1349453c65
142b46dd80
151aed50a3
hex11a5b35c

296072028 has 144 divisors (see below), whose sum is σ = 887927040. Its totient is φ = 81430272.

The previous prime is 296071981. The next prime is 296072057. The reversal of 296072028 is 820270692.

296072028 is a `hidden beast` number, since 2 + 9 + 607 + 20 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 296071983 and 296072001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964251 + ... + 964557.

It is an arithmetic number, because the mean of its divisors is an integer number (6166160).

Almost surely, 2296072028 is an apocalyptic number.

296072028 is a gapful number since it is divisible by the number (28) 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 296072028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443963520).

296072028 is an abundant number, since it is smaller than the sum of its proper divisors (591855012).

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

296072028 is a wasteful number, since it uses less digits than its factorization.

296072028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 296072028 is about 17206.7436779886. The cubic root of 296072028 is about 666.4984229891.

The spelling of 296072028 in words is "two hundred ninety-six million, seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 89 126 129 172 178 252 258 267 301 307 356 387 516 534 602 614 623 774 801 903 921 1068 1204 1228 1246 1548 1602 1806 1842 1869 2149 2492 2709 2763 3204 3612 3684 3738 3827 4298 5418 5526 5607 6447 7476 7654 8596 10836 11052 11214 11481 12894 13201 15308 19341 22428 22962 25788 26402 26789 27323 34443 38682 39603 45924 52804 53578 54646 68886 77364 79206 80367 81969 92407 107156 109292 118809 137772 158412 160734 163938 184814 191261 237618 241101 245907 277221 321468 327876 369628 382522 475236 482202 491814 554442 573783 765044 831663 964404 983628 1108884 1147566 1174889 1663326 1721349 2295132 2349778 3326652 3442698 3524667 4699556 6885396 7049334 8224223 10574001 14098668 16448446 21148002 24672669 32896892 42296004 49345338 74018007 98690676 148036014 296072028