Search a number
-
+
3542090112 = 273211225411
BaseRepresentation
bin1101001100100000…
…0000000110000000
3100010212001211011200
43103020000012000
524223233340422
61343251141200
7153530161221
oct32310000600
910125054150
103542090112
111558465800
1282a2a4800
13445ab5612
142585d7248
1515ae732ac
hexd3200180

3542090112 has 144 divisors (see below), whose sum is σ = 11204023740. Its totient is φ = 1073318400.

The previous prime is 3542090077. The next prime is 3542090113. The reversal of 3542090112 is 2110902453.

3542090112 is a `hidden beast` number, since 3 + 542 + 0 + 9 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×35420901123 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542090113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126687 + ... + 152097.

Almost surely, 23542090112 is an apocalyptic number.

3542090112 is a gapful number since it is divisible by the number (32) 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 3542090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602011870).

3542090112 is an abundant number, since it is smaller than the sum of its proper divisors (7661933628).

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

3542090112 is a wasteful number, since it uses less digits than its factorization.

3542090112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25453 (or 25427 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3542090112 is about 59515.4611172593. The cubic root of 3542090112 is about 1524.3564586654.

Adding to 3542090112 its reverse (2110902453), we get a palindrome (5652992565).

The spelling of 3542090112 in words is "three billion, five hundred forty-two million, ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 25411 34848 46464 50822 69696 76233 101644 139392 152466 203288 228699 279521 304932 406576 457398 559042 609864 813152 838563 914796 1118084 1219728 1626304 1677126 1829592 2236168 2439456 2515689 3074731 3252608 3354252 3659184 4472336 4878912 5031378 6149462 6708504 7318368 8944672 9224193 9757824 10062756 12298924 13417008 14636736 17889344 18448386 20125512 24597848 26834016 27672579 29273472 35778688 36896772 40251024 49195696 53668032 55345158 73793544 80502048 98391392 107336064 110690316 147587088 161004096 196782784 221380632 295174176 322008192 393565568 442761264 590348352 885522528 1180696704 1771045056 3542090112