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36140496 = 2437293709
BaseRepresentation
bin1000100111011…
…1010111010000
32112000010102220
42021313113100
533222443441
63330341040
7616121610
oct211672720
975003386
1036140496
1119444987
121012a780
137644c12
144b2aa40
15328d466
hex22775d0

36140496 has 80 divisors (see below), whose sum is σ = 110409600. Its totient is φ = 9967104.

The previous prime is 36140483. The next prime is 36140501. The reversal of 36140496 is 69404163.

36140496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×361404962 = 2612270902252032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7890 + ... + 11598.

It is an arithmetic number, because the mean of its divisors is an integer number (1380120).

Almost surely, 236140496 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 36140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55204800).

36140496 is an abundant number, since it is smaller than the sum of its proper divisors (74269104).

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

36140496 is a wasteful number, since it uses less digits than its factorization.

36140496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 36140496 is about 6011.6965991307. The cubic root of 36140496 is about 330.6217113558.

The spelling of 36140496 in words is "thirty-six million, one hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 3709 4872 7418 9744 11127 14836 22254 25963 29672 44508 51926 59344 77889 89016 103852 107561 155778 178032 207704 215122 311556 322683 415408 430244 623112 645366 752927 860488 1246224 1290732 1505854 1720976 2258781 2581464 3011708 4517562 5162928 6023416 9035124 12046832 18070248 36140496