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2038292232 = 2335310691499
BaseRepresentation
bin111100101111101…
…1101111100001000
312021001101222021220
41321133131330020
513133300322412
6534131402040
7101340124644
oct17137357410
95231358256
102038292232
11956621139
1248a753320
132663937a2
141549c5c24
15bde2868c
hex797ddf08

2038292232 has 64 divisors (see below), whose sum is σ = 5200200000. Its totient is φ = 665543424.

The previous prime is 2038292219. The next prime is 2038292233. The reversal of 2038292232 is 2322928302.

It is a junction number, because it is equal to n+sod(n) for n = 2038292193 and 2038292202.

It is not an unprimeable number, because it can be changed into a prime (2038292233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1359019 + ... + 1360517.

It is an arithmetic number, because the mean of its divisors is an integer number (81253125).

Almost surely, 22038292232 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 2038292232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600100000).

2038292232 is an abundant number, since it is smaller than the sum of its proper divisors (3161907768).

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

2038292232 is a wasteful number, since it uses less digits than its factorization.

2038292232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2038292232 is about 45147.4498947615. The cubic root of 2038292232 is about 1267.9111366173.

The spelling of 2038292232 in words is "two billion, thirty-eight million, two hundred ninety-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1069 1272 1499 2138 2998 3207 4276 4497 5996 6414 8552 8994 11992 12828 17988 25656 35976 56657 79447 113314 158894 169971 226628 238341 317788 339942 453256 476682 635576 679884 953364 1359768 1602431 1906728 3204862 4807293 6409724 9614586 12819448 19229172 38458344 84928843 169857686 254786529 339715372 509573058 679430744 1019146116 2038292232