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114572256 = 25310311587
BaseRepresentation
bin1101101010000…
…11101111100000
321222120212120220
412311003233200
5213312303011
615211403040
72560563621
oct665035740
9258525526
10114572256
1159744917
1232453480
131a976546
1411305a48
15a0d2506
hex6d43be0

114572256 has 48 divisors (see below), whose sum is σ = 303698304. Its totient is φ = 37816704.

The previous prime is 114572251. The next prime is 114572291. The reversal of 114572256 is 652275411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114572251) 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, 4095 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (6327048).

Almost surely, 2114572256 is an apocalyptic number.

114572256 is a gapful number since it is divisible by the number (16) 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 114572256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151849152).

114572256 is an abundant number, since it is smaller than the sum of its proper divisors (189126048).

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

114572256 is a wasteful number, since it uses less digits than its factorization.

114572256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703 (or 11695 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 114572256 is about 10703.8430481767. The cubic root of 114572256 is about 485.6907378928.

The spelling of 114572256 in words is "one hundred fourteen million, five hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 11587 23174 34761 46348 69522 92696 139044 185392 278088 370784 556176 1112352 1193461 2386922 3580383 4773844 7160766 9547688 14321532 19095376 28643064 38190752 57286128 114572256