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114675552 = 25323071297
BaseRepresentation
bin1101101010111…
…00111101100000
321222210010021200
412311130331200
5213324104202
615213521200
72561504025
oct665347540
9258703250
10114675552
1159805492
12324a3200
131a9b1574
141133154c
15a102e1c
hex6d5cf60

114675552 has 72 divisors (see below), whose sum is σ = 327423096. Its totient is φ = 38071296.

The previous prime is 114675551. The next prime is 114675559. The reversal of 114675552 is 255576411.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114675551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87768 + ... + 89064.

It is an arithmetic number, because the mean of its divisors is an integer number (4547543).

Almost surely, 2114675552 is an apocalyptic number.

114675552 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 114675552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163711548).

114675552 is an abundant number, since it is smaller than the sum of its proper divisors (212747544).

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

114675552 is a wasteful number, since it uses less digits than its factorization.

114675552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1609 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 114675552 is about 10708.6671439540. The cubic root of 114675552 is about 485.8366569905.

The spelling of 114675552 in words is "one hundred fourteen million, six hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1297 1842 2456 2594 2763 3684 3891 4912 5188 5526 7368 7782 9824 10376 11052 11673 14736 15564 20752 22104 23346 29472 31128 41504 44208 46692 62256 88416 93384 124512 186768 373536 398179 796358 1194537 1592716 2389074 3185432 3583611 4778148 6370864 7167222 9556296 12741728 14334444 19112592 28668888 38225184 57337776 114675552