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114052488 = 23311412257
BaseRepresentation
bin1101100110001…
…00110110001000
321221121110121020
412303010312020
5213144134423
615152312440
72553300354
oct663046610
9257543536
10114052488
115941a360
1232242720
131a823aa4
141120c464
15a02d4e3
hex6cc4d88

114052488 has 96 divisors (see below), whose sum is σ = 320064480. Its totient is φ = 33587200.

The previous prime is 114052427. The next prime is 114052501. The reversal of 114052488 is 884250411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443656 + ... + 443912.

It is an arithmetic number, because the mean of its divisors is an integer number (3334005).

Almost surely, 2114052488 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 114052488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160032240).

114052488 is an abundant number, since it is smaller than the sum of its proper divisors (206011992).

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

114052488 is a wasteful number, since it uses less digits than its factorization.

114052488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 114052488 is about 10679.5359449744. The cubic root of 114052488 is about 484.9551636024.

It can be divided in two parts, 1140 and 52488, that added together give a triangular number (53628 = T327).

The spelling of 114052488 in words is "one hundred fourteen million, fifty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 257 264 328 451 492 514 771 902 984 1028 1353 1542 1681 1804 2056 2706 2827 3084 3362 3608 5043 5412 5654 6168 6724 8481 10086 10537 10824 11308 13448 16962 18491 20172 21074 22616 31611 33924 36982 40344 42148 55473 63222 67848 73964 84296 110946 115907 126444 147928 221892 231814 252888 347721 432017 443784 463628 695442 864034 927256 1296051 1390884 1728068 2592102 2781768 3456136 4752187 5184204 9504374 10368408 14256561 19008748 28513122 38017496 57026244 114052488