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114376544 = 2517533967
BaseRepresentation
bin1101101000100…
…11111101100000
321222012221010022
412310103331200
5213240022134
615203253012
72556120212
oct664237540
9258187108
10114376544
1159620877
123237a168
131a908439
14112945b2
15a09452e
hex6d13f60

114376544 has 48 divisors (see below), whose sum is σ = 242984448. Its totient is φ = 52795392.

The previous prime is 114376543. The next prime is 114376553. The reversal of 114376544 is 445673411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114376543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26849 + ... + 30815.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2114376544 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 114376544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

114376544 is an abundant number, since it is smaller than the sum of its proper divisors (128607904).

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

114376544 is a wasteful number, since it uses less digits than its factorization.

114376544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4039 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 114376544 is about 10694.6970036556. The cubic root of 114376544 is about 485.4140284318.

It can be divided in two parts, 114376 and 544, that multiplied together give a square (62220544 = 78882).

The spelling of 114376544 in words is "one hundred fourteen million, three hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 3604 3967 7208 7934 14416 15868 28832 31736 63472 67439 126944 134878 210251 269756 420502 539512 841004 1079024 1682008 2158048 3364016 3574267 6728032 7148534 14297068 28594136 57188272 114376544