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2002738932 = 22354347917
BaseRepresentation
bin111011101011111…
…0101111011110100
312011120111200100000
41313113311323310
513100200121212
6530421351300
7100426000005
oct16727657364
95146450300
102002738932
11938548447
1247a868530
1325bbc5c2c
1414ddad1ac
15bac541dc
hex775f5ef4

2002738932 has 72 divisors (see below), whose sum is σ = 5372182816. Its totient is φ = 652040928.

The previous prime is 2002738897. The next prime is 2002738939. The reversal of 2002738932 is 2398372002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002738939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17838 + ... + 65754.

Almost surely, 22002738932 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 2002738932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686091408).

2002738932 is an abundant number, since it is smaller than the sum of its proper divisors (3369443884).

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

2002738932 is a wasteful number, since it uses less digits than its factorization.

2002738932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47979 (or 47965 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2002738932 is about 44751.9712638449. The cubic root of 2002738932 is about 1260.4959272299.

The spelling of 2002738932 in words is "two billion, two million, seven hundred thirty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1548 2322 3483 4644 6966 10449 13932 20898 41796 47917 95834 143751 191668 287502 431253 575004 862506 1293759 1725012 2060431 2587518 3881277 4120862 5175036 6181293 7762554 8241724 11643831 12362586 15525108 18543879 23287662 24725172 37087758 46575324 55631637 74175516 111263274 166894911 222526548 333789822 500684733 667579644 1001369466 2002738932