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3722754852 = 2232379728813
BaseRepresentation
bin1101110111100100…
…1011101100100100
3100121110000112121100
43131321023230210
530111011123402
61413223320100
7161152615455
oct33571135444
910543015540
103722754852
111640441903
1287a8b0030
1347435cc2b
142745c512c
1516bc5d71c
hexdde4bb24

3722754852 has 72 divisors (see below), whose sum is σ = 9764603576. Its totient is φ = 1194891264.

The previous prime is 3722754839. The next prime is 3722754863. The reversal of 3722754852 is 2584572273.

3722754852 is a `hidden beast` number, since 37 + 2 + 27 + 548 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 584962596 + 3137792256 = 24186^2 + 56016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3722754798 and 3722754807.

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, 114798 + ... + 143610.

Almost surely, 23722754852 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 3722754852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882301788).

3722754852 is an abundant number, since it is smaller than the sum of its proper divisors (6041848724).

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

3722754852 is a wasteful number, since it uses less digits than its factorization.

3722754852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28957 (or 28952 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 3722754852 is about 61014.3823372818. The cubic root of 3722754852 is about 1549.8445701931.

The spelling of 3722754852 in words is "three billion, seven hundred twenty-two million, seven hundred fifty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 97 111 148 194 222 291 333 388 444 582 666 873 1164 1332 1746 3492 3589 7178 10767 14356 21534 28813 32301 43068 57626 64602 86439 115252 129204 172878 259317 345756 518634 1037268 1066081 2132162 2794861 3198243 4264324 5589722 6396486 8384583 9594729 11179444 12792972 16769166 19189458 25153749 33538332 38378916 50307498 100614996 103409857 206819714 310229571 413639428 620459142 930688713 1240918284 1861377426 3722754852