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1538420508 = 22321731131619
BaseRepresentation
bin101101110110010…
…0110111100011100
310222012210212012100
41123230212330130
511122313424013
6412353405100
753060233662
oct13354467434
93865725170
101538420508
1171a442109
1236b269790
131b6954bc1
14108464c32
15900d8473
hex5bb26f1c

1538420508 has 144 divisors (see below), whose sum is σ = 4289725440. Its totient is φ = 462758400.

The previous prime is 1538420501. The next prime is 1538420531. The reversal of 1538420508 is 8050248351.

It is a happy number.

1538420508 is a `hidden beast` number, since 1 + 53 + 84 + 20 + 508 = 666.

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 (1538420501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2485023 + ... + 2485641.

It is an arithmetic number, because the mean of its divisors is an integer number (29789760).

Almost surely, 21538420508 is an apocalyptic number.

1538420508 is a gapful number since it is divisible by the number (18) 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 1538420508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1538420508 is an abundant number, since it is smaller than the sum of its proper divisors (2751304932).

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

1538420508 is a wasteful number, since it uses less digits than its factorization.

1538420508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1538420508 is about 39222.7039863393. The cubic root of 1538420508 is about 1154.4054104947.

Adding to 1538420508 its reverse (8050248351), we get a palindrome (9588668859).

The spelling of 1538420508 in words is "one billion, five hundred thirty-eight million, four hundred twenty thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 131 153 186 204 262 279 306 372 393 524 527 558 612 619 786 1054 1116 1179 1238 1572 1581 1857 2108 2227 2358 2476 3162 3714 4061 4454 4716 4743 5571 6324 6681 7428 8122 8908 9486 10523 11142 12183 13362 16244 18972 19189 20043 21046 22284 24366 26724 31569 36549 38378 40086 42092 48732 57567 63138 69037 73098 76756 80172 81089 94707 115134 126276 138074 146196 162178 172701 189414 207111 230268 243267 276148 324356 326213 345402 378828 414222 486534 621333 652426 690804 729801 828444 973068 978639 1242666 1304852 1378513 1459602 1957278 2485332 2513759 2757026 2919204 2935917 3914556 4135539 5027518 5514052 5871834 7541277 8271078 10055036 11743668 12406617 15082554 16542156 22623831 24813234 30165108 42733903 45247662 49626468 85467806 90495324 128201709 170935612 256403418 384605127 512806836 769210254 1538420508