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3672992372 = 2272195973229
BaseRepresentation
bin1101101011101101…
…0110101001110100
3100110222101100022112
43122323112221310
530010241223442
61404244550152
7160006630400
oct33273265164
910428340275
103672992372
111615343595
128660b2358
13466c5898a
1426bb50100
151676ce082
hexdaed6a74

3672992372 has 144 divisors (see below), whose sum is σ = 8149176000. Its totient is φ = 1439617536.

The previous prime is 3672992369. The next prime is 3672992423. The reversal of 3672992372 is 2732992763.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3672992372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16039154 + ... + 16039382.

It is an arithmetic number, because the mean of its divisors is an integer number (56591500).

Almost surely, 23672992372 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 3672992372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074588000).

3672992372 is an abundant number, since it is smaller than the sum of its proper divisors (4476183628).

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

3672992372 is a wasteful number, since it uses less digits than its factorization.

3672992372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 50.

The square root of 3672992372 is about 60605.2173661641. The cubic root of 3672992372 is about 1542.9079216075.

The spelling of 3672992372 in words is "three billion, six hundred seventy-two million, nine hundred ninety-two thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 49 59 73 76 98 118 133 146 196 229 236 266 292 413 458 511 532 826 916 931 1022 1121 1387 1603 1652 1862 2044 2242 2774 2891 3206 3577 3724 4307 4351 4484 5548 5782 6412 7154 7847 8614 8702 9709 11221 11564 13511 14308 15694 16717 17228 17404 19418 22442 27022 30149 30457 31388 33434 38836 44884 54044 54929 60298 60914 66868 67963 81833 94577 109858 117019 120596 121828 135926 163666 189154 211043 213199 219716 234038 256709 271852 317623 327332 378308 422086 426398 468076 513418 572831 635246 662039 819133 844172 852796 986303 1026836 1145662 1270492 1324078 1638266 1796963 1972606 2223361 2291324 2648156 3276532 3593926 3945212 4009817 4446722 6904121 7187852 8019634 8893444 12578741 13808242 15563527 16039268 18739757 25157482 27616484 31127054 37479514 48328847 50314964 62254108 74959028 96657694 131178299 193315388 262356598 524713196 918248093 1836496186 3672992372