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3726252540 = 2232523900061
BaseRepresentation
bin1101111000011010…
…0001100111111100
3100121200121020112100
43132012201213330
530112410040130
61413430305100
7161224424013
oct33606414774
910550536470
103726252540
11164241075a
1287bab8190
13474cb5c7a
14274c55a7a
1516c1eec60
hexde1a19fc

3726252540 has 72 divisors (see below), whose sum is σ = 11794412448. Its totient is φ = 950463360.

The previous prime is 3726252521. The next prime is 3726252581. The reversal of 3726252540 is 452526273.

3726252540 is a `hidden beast` number, since 3 + 7 + 2 + 62 + 52 + 540 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3726252495 and 3726252504.

It is a congruent number.

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, 445891 + ... + 454170.

It is an arithmetic number, because the mean of its divisors is an integer number (163811284).

Almost surely, 23726252540 is an apocalyptic number.

3726252540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3726252540 is an abundant number, since it is smaller than the sum of its proper divisors (8068159908).

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

3726252540 is a wasteful number, since it uses less digits than its factorization.

3726252540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900099 (or 900094 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3726252540 is about 61043.0384237220. The cubic root of 3726252540 is about 1550.3298000961.

The spelling of 3726252540 in words is "three billion, seven hundred twenty-six million, two hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 900061 1800122 2700183 3600244 4500305 5400366 8100549 9000610 10800732 13500915 16201098 18001220 20701403 27001830 32402196 40502745 41402806 54003660 62104209 81005490 82805612 103507015 124208418 162010980 186312627 207014030 248416836 310521045 372625254 414028060 621042090 745250508 931563135 1242084180 1863126270 3726252540