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114848496 = 24337163233
BaseRepresentation
bin1101101100001…
…11001011110000
322000002220112000
412312013023300
5213400122441
615221334000
72563124160
oct666071360
9260086460
10114848496
1159913414
1232567300
131aa421b9
14113785a0
15a1392b6
hex6d872f0

114848496 has 160 divisors (see below), whose sum is σ = 380689920. Its totient is φ = 32472576.

The previous prime is 114848477. The next prime is 114848501. The reversal of 114848496 is 694848411.

114848496 is a `hidden beast` number, since 1 + 1 + 484 + 84 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492796 + ... + 493028.

It is an arithmetic number, because the mean of its divisors is an integer number (2379312).

Almost surely, 2114848496 is an apocalyptic number.

114848496 is a gapful number since it is divisible by the number (16) 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 114848496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190344960).

114848496 is an abundant number, since it is smaller than the sum of its proper divisors (265841424).

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

114848496 is a wasteful number, since it uses less digits than its factorization.

114848496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 114848496 is about 10716.7390562615. The cubic root of 114848496 is about 486.0807669457.

The spelling of 114848496 in words is "one hundred fourteen million, eight hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 163 168 189 216 233 252 326 336 378 432 466 489 504 652 699 756 932 978 1008 1141 1304 1398 1467 1512 1631 1864 1956 2097 2282 2608 2796 2934 3024 3262 3423 3728 3912 4194 4401 4564 4893 5592 5868 6291 6524 6846 7824 8388 8802 9128 9786 10269 11184 11736 12582 13048 13692 14679 16776 17604 18256 19572 20538 23472 25164 26096 27384 29358 30807 33552 35208 37979 39144 41076 44037 50328 54768 58716 61614 70416 75958 78288 82152 88074 100656 113937 117432 123228 151916 164304 176148 227874 234864 246456 265853 303832 341811 352296 455748 492912 531706 607664 683622 704592 797559 911496 1025433 1063412 1367244 1595118 1822992 2050866 2126824 2392677 2734488 3190236 4101732 4253648 4785354 5468976 6380472 7178031 8203464 9570708 12760944 14356062 16406928 19141416 28712124 38282832 57424248 114848496