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2038381820 = 225701145391
BaseRepresentation
bin111100101111111…
…0011110011111100
312021001120112011222
41321133303303330
513133311204240
6534133332512
7101340650066
oct17137636374
95231515158
102038381820
11956682482
1248a797138
132663c54b7
14154a0a736
15bde44eb5
hex797f3cfc

2038381820 has 24 divisors (see below), whose sum is σ = 4286737728. Its totient is φ = 814184000.

The previous prime is 2038381817. The next prime is 2038381853. The reversal of 2038381820 is 281838302.

It is a happy number.

It is a congruent number.

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, 58676 + ... + 86715.

It is an arithmetic number, because the mean of its divisors is an integer number (178614072).

Almost surely, 22038381820 is an apocalyptic number.

2038381820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038381820 is an abundant number, since it is smaller than the sum of its proper divisors (2248355908).

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

2038381820 is a wasteful number, since it uses less digits than its factorization.

2038381820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146101 (or 146099 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2038381820 is about 45148.4420550699. The cubic root of 2038381820 is about 1267.9297122917.

The spelling of 2038381820 in words is "two billion, thirty-eight million, three hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 701 1402 2804 3505 7010 14020 145391 290782 581564 726955 1453910 2907820 101919091 203838182 407676364 509595455 1019190910 2038381820