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3672409092 = 22311672411723
BaseRepresentation
bin1101101011100100…
…1000010000000100
3100110221021201012120
43122321020100010
530010114042332
61404224245540
7160001651022
oct33271102004
910427251176
103672409092
111614a85340
12865a708b0
13466ab3341
1426ba3b712
1516761632c
hexdae48404

3672409092 has 96 divisors (see below), whose sum is σ = 9532368384. Its totient is φ = 1091059200.

The previous prime is 3672409087. The next prime is 3672409123. The reversal of 3672409092 is 2909042763.

It is a happy number.

It is a super-3 number, since 3×36724090923 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2130543 + ... + 2132265.

It is an arithmetic number, because the mean of its divisors is an integer number (99295504).

Almost surely, 23672409092 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 3672409092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766184192).

3672409092 is an abundant number, since it is smaller than the sum of its proper divisors (5859959292).

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

3672409092 is a wasteful number, since it uses less digits than its factorization.

3672409092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3672409092 is about 60600.4050481513. The cubic root of 3672409092 is about 1542.8262447908.

The spelling of 3672409092 in words is "three billion, six hundred seventy-two million, four hundred nine thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 241 268 402 482 723 737 804 964 1446 1474 1723 2211 2651 2892 2948 3446 4422 5169 5302 6892 7953 8844 10338 10604 15906 16147 18953 20676 31812 32294 37906 48441 56859 64588 75812 96882 113718 115441 177617 193764 227436 230882 346323 355234 415243 461764 532851 692646 710468 830486 1065702 1245729 1269851 1385292 1660972 2131404 2491458 2539702 3809553 4567673 4982916 5079404 7619106 9135346 13703019 15238212 18270692 27406038 27821281 54812076 55642562 83463843 111285124 166927686 306034091 333855372 612068182 918102273 1224136364 1836204546 3672409092