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114552528 = 24317791777
BaseRepresentation
bin1101101001111…
…10111011010000
321222112212112020
412310332323100
5213311140103
615211131440
72560452246
oct664767320
9258485466
10114552528
1159731012
1232443b80
131a96a57c
14112dc796
15a0cb753
hex6d3eed0

114552528 has 80 divisors (see below), whose sum is σ = 317479680. Its totient is φ = 35463168.

The previous prime is 114552527. The next prime is 114552551. The reversal of 114552528 is 825255411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114552521) 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, 63576 + ... + 65352.

It is an arithmetic number, because the mean of its divisors is an integer number (3968496).

Almost surely, 2114552528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114552528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

114552528 is an abundant number, since it is smaller than the sum of its proper divisors (202927152).

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

114552528 is a wasteful number, since it uses less digits than its factorization.

114552528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its digits is 16000, while the sum is 33.

The square root of 114552528 is about 10702.9214703276. The cubic root of 114552528 is about 485.6628595413.

The spelling of 114552528 in words is "one hundred fourteen million, five hundred fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 204 237 272 316 408 474 632 816 948 1264 1343 1777 1896 2686 3554 3792 4029 5331 5372 7108 8058 10662 10744 14216 16116 21324 21488 28432 30209 32232 42648 60418 64464 85296 90627 120836 140383 181254 241672 280766 362508 421149 483344 561532 725016 842298 1123064 1450032 1684596 2246128 2386511 3369192 4773022 6738384 7159533 9546044 14319066 19092088 28638132 38184176 57276264 114552528