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114882048 = 2932107233
BaseRepresentation
bin1101101100011…
…11011000000000
322000011121112200
412312033120000
5213402211143
615222153200
72563324041
oct666173000
9260147480
10114882048
1159936646
1232582800
131aa54558
14113868c8
15a1441d3
hex6d8f600

114882048 has 120 divisors (see below), whose sum is σ = 336092328. Its totient is φ = 37773312.

The previous prime is 114882029. The next prime is 114882091. The reversal of 114882048 is 840288411.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492940 + ... + 493172.

Almost surely, 2114882048 is an apocalyptic number.

114882048 is a gapful number since it is divisible by the number (18) 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 114882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168046164).

114882048 is an abundant number, since it is smaller than the sum of its proper divisors (221210280).

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

114882048 is a wasteful number, since it uses less digits than its factorization.

114882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 114882048 is about 10718.3043435051. The cubic root of 114882048 is about 486.1280971083.

The spelling of 114882048 in words is "one hundred fourteen million, eight hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 233 256 288 321 384 428 466 512 576 642 699 768 856 932 963 1152 1284 1398 1536 1712 1864 1926 2097 2304 2568 2796 3424 3728 3852 4194 4608 5136 5592 6848 7456 7704 8388 10272 11184 13696 14912 15408 16776 20544 22368 24931 27392 29824 30816 33552 41088 44736 49862 54784 59648 61632 67104 74793 82176 89472 99724 119296 123264 134208 149586 164352 178944 199448 224379 246528 268416 299172 357888 398896 448758 493056 536832 598344 797792 897516 1073664 1196688 1595584 1795032 2393376 3191168 3590064 4786752 6382336 7180128 9573504 12764672 14360256 19147008 28720512 38294016 57441024 114882048