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114942048 = 25313312971
BaseRepresentation
bin1101101100111…
…10000001100000
322000021122211220
412312132001200
5213411121143
615223335040
72563664004
oct666360140
9260248756
10114942048
1159977731
12325b1480
131aa75960
14113a0704
15a156d83
hex6d9e060

114942048 has 96 divisors (see below), whose sum is σ = 335526912. Its totient is φ = 34214400.

The previous prime is 114942043. The next prime is 114942073. The reversal of 114942048 is 840249411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114942043) 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, 37203 + ... + 40173.

It is an arithmetic number, because the mean of its divisors is an integer number (3495072).

Almost surely, 2114942048 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 114942048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167763456).

114942048 is an abundant number, since it is smaller than the sum of its proper divisors (220584864).

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

114942048 is a wasteful number, since it uses less digits than its factorization.

114942048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 114942048 is about 10721.1029283372. The cubic root of 114942048 is about 486.2127131992.

The spelling of 114942048 in words is "one hundred fourteen million, nine hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2971 2976 3224 4836 5942 6448 8913 9672 11884 12896 17826 19344 23768 35652 38623 38688 47536 71304 77246 92101 95072 115869 142608 154492 184202 231738 276303 285216 308984 368404 463476 552606 617968 736808 926952 1105212 1197313 1235936 1473616 1853904 2210424 2394626 2947232 3591939 3707808 4420848 4789252 7183878 8841696 9578504 14367756 19157008 28735512 38314016 57471024 114942048