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114945792 = 2831329397
BaseRepresentation
bin1101101100111…
…10111100000000
322000021211222120
412312132330000
5213411231132
615223404240
72564010633
oct666367400
9260254876
10114945792
115997a525
12325b3680
131aa77580
14113a1c1a
15a15802c
hex6d9ef00

114945792 has 144 divisors (see below), whose sum is σ = 341675040. Its totient is φ = 34062336.

The previous prime is 114945781. The next prime is 114945793. The reversal of 114945792 is 297549411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114945793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289338 + ... + 289734.

Almost surely, 2114945792 is an apocalyptic number.

114945792 is a gapful number since it is divisible by the number (12) 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 114945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170837520).

114945792 is an abundant number, since it is smaller than the sum of its proper divisors (226729248).

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

114945792 is a wasteful number, since it uses less digits than its factorization.

114945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 114945792 is about 10721.2775358163. The cubic root of 114945792 is about 486.2179922671.

The spelling of 114945792 in words is "one hundred fourteen million, nine hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 256 312 348 377 384 397 416 464 624 696 754 768 794 832 928 1131 1191 1248 1392 1508 1588 1664 1856 2262 2382 2496 2784 3016 3176 3328 3712 4524 4764 4992 5161 5568 6032 6352 7424 9048 9528 9984 10322 11136 11513 12064 12704 15483 18096 19056 20644 22272 23026 24128 25408 30966 34539 36192 38112 41288 46052 48256 50816 61932 69078 72384 76224 82576 92104 96512 101632 123864 138156 144768 149669 152448 165152 184208 247728 276312 289536 299338 304896 330304 368416 449007 495456 552624 598676 660608 736832 898014 990912 1105248 1197352 1321216 1473664 1796028 1981824 2210496 2394704 2947328 3592056 3963648 4420992 4789408 7184112 8841984 9578816 14368224 19157632 28736448 38315264 57472896 114945792