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114949464 = 23375911597
BaseRepresentation
bin1101101100111…
…11110101011000
322000022001000120
412312133311120
5213411340324
615223433240
72564024430
oct666376530
9260261016
10114949464
1159982263
12325b5820
131aa79146
14113a32c0
15a159179
hex6d9fd58

114949464 has 64 divisors (see below), whose sum is σ = 334022400. Its totient is φ = 32283264.

The previous prime is 114949459. The next prime is 114949493. The reversal of 114949464 is 464949411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4114 + ... + 15710.

It is an arithmetic number, because the mean of its divisors is an integer number (5219100).

Almost surely, 2114949464 is an apocalyptic number.

114949464 is a gapful number since it is divisible by the number (14) 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 114949464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167011200).

114949464 is an abundant number, since it is smaller than the sum of its proper divisors (219072936).

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

114949464 is a wasteful number, since it uses less digits than its factorization.

114949464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672 (or 11668 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 114949464 is about 10721.4487826972. The cubic root of 114949464 is about 486.2231697031.

The spelling of 114949464 in words is "one hundred fourteen million, nine hundred forty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 11597 23194 34791 46388 69582 81179 92776 139164 162358 243537 278328 324716 487074 649432 684223 974148 1368446 1948296 2052669 2736892 4105338 4789561 5473784 8210676 9579122 14368683 16421352 19158244 28737366 38316488 57474732 114949464