Search a number
-
+
2002291392 = 26349920899
BaseRepresentation
bin111011101011000…
…1000101011000000
312011112122221102110
41313112020223000
513100041311032
6530404015320
7100422124143
oct16726105300
95145587373
102002291392
11938272182
1247a691540
1325ba9a30a
1414dcd405a
15babb67cc
hex77588ac0

2002291392 has 56 divisors (see below), whose sum is σ = 5308600000. Its totient is φ = 666061056.

The previous prime is 2002291373. The next prime is 2002291411. The reversal of 2002291392 is 2931922002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002291373) and next prime (2002291411).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85359 + ... + 106257.

Almost surely, 22002291392 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 2002291392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654300000).

2002291392 is an abundant number, since it is smaller than the sum of its proper divisors (3306308608).

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

2002291392 is a wasteful number, since it uses less digits than its factorization.

2002291392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21413 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2002291392 is about 44746.9707578066. The cubic root of 2002291392 is about 1260.4020284256.

The spelling of 2002291392 in words is "two billion, two million, two hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 499 998 1497 1996 2994 3992 5988 7984 11976 15968 20899 23952 31936 41798 47904 62697 83596 95808 125394 167192 250788 334384 501576 668768 1003152 1337536 2006304 4012608 10428601 20857202 31285803 41714404 62571606 83428808 125143212 166857616 250286424 333715232 500572848 667430464 1001145696 2002291392