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114981552 = 2433747809
BaseRepresentation
bin1101101101001…
…11101010110000
322000100200001000
412312213222300
5213413402202
615224242000
72564220120
oct666475260
9260320030
10114981552
11599a4384
1232610300
131aa8a92a
14113b0c80
15a16391c
hex6da7ab0

114981552 has 160 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 32113152.

The previous prime is 114981551. The next prime is 114981571. The reversal of 114981552 is 255189411.

114981552 is a `hidden beast` number, since 1 + 14 + 98 + 1 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114981551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141724 + ... + 142532.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2114981552 is an apocalyptic number.

114981552 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 114981552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

114981552 is an abundant number, since it is smaller than the sum of its proper divisors (270708048).

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

114981552 is a wasteful number, since it uses less digits than its factorization.

114981552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 114981552 is about 10722.9451178303. The cubic root of 114981552 is about 486.2684083585.

The spelling of 114981552 in words is "one hundred fourteen million, nine hundred eighty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 809 846 987 1008 1128 1269 1316 1512 1618 1692 1974 2256 2427 2538 2632 2961 3024 3236 3384 3948 4854 5076 5264 5663 5922 6472 6768 7281 7896 8883 9708 10152 11326 11844 12944 14562 15792 16989 17766 19416 20304 21843 22652 23688 29124 33978 35532 38023 38832 43686 45304 47376 50967 58248 67956 71064 76046 87372 90608 101934 114069 116496 135912 142128 152092 152901 174744 203868 228138 266161 271824 304184 305802 342207 349488 407736 456276 532322 608368 611604 684414 798483 815472 912552 1026621 1064644 1223208 1368828 1596966 1825104 2053242 2129288 2395449 2446416 2737656 3193932 4106484 4258576 4790898 5475312 6387864 7186347 8212968 9581796 12775728 14372694 16425936 19163592 28745388 38327184 57490776 114981552