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2029506388 = 2271331374861
BaseRepresentation
bin111100011110111…
…1100111101010100
312020102212121101021
41320331330331110
513124023201023
6533215210524
7101202343150
oct17075747524
95212777337
102029506388
11951670208
12487816a44
13264608770
1415377a060
15bd29035d
hex78f7cf54

2029506388 has 96 divisors (see below), whose sum is σ = 4635158528. Its totient is φ = 755827200.

The previous prime is 2029506383. The next prime is 2029506397. The reversal of 2029506388 is 8836059202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029506383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415078 + ... + 419938.

Almost surely, 22029506388 is an apocalyptic number.

2029506388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029506388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317579264).

2029506388 is an abundant number, since it is smaller than the sum of its proper divisors (2605652140).

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

2029506388 is a wasteful number, since it uses less digits than its factorization.

2029506388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 2029506388 is about 45050.0431520326. The cubic root of 2029506388 is about 1266.0867803952.

The spelling of 2029506388 in words is "two billion, twenty-nine million, five hundred six thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 37 52 62 74 91 124 148 182 217 259 364 403 434 481 518 806 868 962 1036 1147 1612 1924 2294 2821 3367 4588 4861 5642 6734 8029 9722 11284 13468 14911 16058 19444 29822 32116 34027 59644 63193 68054 104377 126386 136108 150691 179857 208754 252772 301382 359714 417508 442351 602764 719428 884702 1054837 1258999 1769404 1958983 2109674 2338141 2517998 3917966 4219348 4676282 5035996 5575567 7835932 9352564 11151134 13712881 16366987 22302268 27425762 32733974 39028969 54851524 65467948 72482371 78057938 144964742 156115876 289929484 507376597 1014753194 2029506388