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114259552 = 25113137283
BaseRepresentation
bin1101100111101…
…11011001100000
321221222222122021
412303313121200
5213222301202
615200551224
72555122141
oct663673140
9257888567
10114259552
1159550990
1232322514
131a897104
1411263ac8
15a06ea37
hex6cf7660

114259552 has 96 divisors (see below), whose sum is σ = 261080064. Its totient is φ = 48729600.

The previous prime is 114259549. The next prime is 114259571. The reversal of 114259552 is 255952411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403603 + ... + 403885.

It is an arithmetic number, because the mean of its divisors is an integer number (2719584).

Almost surely, 2114259552 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 114259552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130540032).

114259552 is an abundant number, since it is smaller than the sum of its proper divisors (146820512).

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

114259552 is a wasteful number, since it uses less digits than its factorization.

114259552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its digits is 18000, while the sum is 34.

The square root of 114259552 is about 10689.2259775907. The cubic root of 114259552 is about 485.2484672955.

The spelling of 114259552 in words is "one hundred fourteen million, two hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 74 88 124 148 176 248 283 296 341 352 407 496 566 592 682 814 992 1132 1147 1184 1364 1628 2264 2294 2728 3113 3256 4528 4588 5456 6226 6512 8773 9056 9176 10471 10912 12452 12617 13024 17546 18352 20942 24904 25234 35092 36704 41884 49808 50468 70184 83768 96503 99616 100936 115181 140368 167536 193006 201872 230362 280736 324601 335072 386012 403744 460724 649202 772024 921448 1298404 1544048 1842896 2596808 3088096 3570611 3685792 5193616 7141222 10387232 14282444 28564888 57129776 114259552