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296189952 = 215323131
BaseRepresentation
bin10001101001111…
…000000000000000
3202122100000020020
4101221320000000
51101311034302
645220213440
710224400362
oct2151700000
9678300206
10296189952
11142211993
128323a280
1349495836
142b4a0d32
151b009ebc
hex11a78000

296189952 has 128 divisors (see below), whose sum is σ = 830459520. Its totient is φ = 93716480.

The previous prime is 296189947. The next prime is 296189969. The reversal of 296189952 is 259981692.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 296189895 and 296189904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2260927 + ... + 2261057.

It is an arithmetic number, because the mean of its divisors is an integer number (6487965).

Almost surely, 2296189952 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 296189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415229760).

296189952 is an abundant number, since it is smaller than the sum of its proper divisors (534269568).

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

296189952 is an equidigital number, since it uses as much as digits as its factorization.

296189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 296189952 is about 17210.1700165919. The cubic root of 296189952 is about 666.5868989005.

The spelling of 296189952 in words is "two hundred ninety-six million, one hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 131 138 184 192 256 262 276 368 384 393 512 524 552 736 768 786 1024 1048 1104 1472 1536 1572 2048 2096 2208 2944 3013 3072 3144 4096 4192 4416 5888 6026 6144 6288 8192 8384 8832 9039 11776 12052 12288 12576 16384 16768 17664 18078 23552 24104 24576 25152 32768 33536 35328 36156 47104 48208 49152 50304 67072 70656 72312 94208 96416 98304 100608 134144 141312 144624 188416 192832 201216 268288 282624 289248 376832 385664 402432 536576 565248 578496 753664 771328 804864 1073152 1130496 1156992 1542656 1609728 2146304 2260992 2313984 3085312 3219456 4292608 4627968 6170624 6438912 9255936 12341248 12877824 18511872 24682496 37023744 49364992 74047488 98729984 148094976 296189952