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3721872 = 2437111953
BaseRepresentation
bin1110001100101010010000
321000002110010
432030222100
51423044442
6211434520
743430640
oct16145220
97002403
103721872
112112330
1212b5a40
13a040bb
146cc520
154d7b9c
hex38ca90

3721872 has 160 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 898560.

The previous prime is 3721859. The next prime is 3721873. The reversal of 3721872 is 2781273.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3721873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70198 + ... + 70250.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

Almost surely, 23721872 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 3721872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

3721872 is an abundant number, since it is smaller than the sum of its proper divisors (9134448).

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

3721872 is a wasteful number, since it uses less digits than its factorization.

3721872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 3721872 is about 1929.2153845540. The cubic root of 3721872 is about 154.9722045198.

The spelling of 3721872 in words is "three million, seven hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 53 56 57 66 76 77 84 88 106 112 114 132 133 152 154 159 168 176 209 212 228 231 264 266 304 308 318 336 371 399 418 424 456 462 528 532 583 616 627 636 742 798 836 848 912 924 1007 1064 1113 1166 1232 1254 1272 1463 1484 1596 1672 1749 1848 2014 2128 2226 2332 2508 2544 2926 2968 3021 3192 3344 3498 3696 4028 4081 4389 4452 4664 5016 5852 5936 6042 6384 6996 7049 8056 8162 8778 8904 9328 10032 11077 11704 12084 12243 13992 14098 16112 16324 17556 17808 21147 22154 23408 24168 24486 27984 28196 32648 33231 35112 42294 44308 48336 48972 56392 65296 66462 70224 77539 84588 88616 97944 112784 132924 155078 169176 177232 195888 232617 265848 310156 338352 465234 531696 620312 930468 1240624 1860936 3721872