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38000805392 = 24113141257661
BaseRepresentation
bin100011011001000001…
…100100011000010000
310122002100012221001202
4203121001210120100
51110311201233032
625242441050332
72513460342044
oct433101443020
9118070187052
1038000805392
11151305115a0
1274464869a8
133777b2a984
141ba6c82024
15ec6232d62
hex8d9064610

38000805392 has 160 divisors (see below), whose sum is σ = 85392534528. Its totient is φ = 16220160000.

The previous prime is 38000805389. The next prime is 38000805397. The reversal of 38000805392 is 29350800083.

It is a super-2 number, since 2×380008053922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38000805397) 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, 57489542 + ... + 57490202.

Almost surely, 238000805392 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 38000805392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42696267264).

38000805392 is an abundant number, since it is smaller than the sum of its proper divisors (47391729136).

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

38000805392 is a wasteful number, since it uses less digits than its factorization.

38000805392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 38000805392 in words is "thirty-eight billion, eight hundred five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 41 44 62 82 88 124 164 176 248 257 328 341 451 496 514 656 661 682 902 1028 1271 1322 1364 1804 2056 2542 2644 2728 2827 3608 4112 5084 5288 5456 5654 7216 7271 7967 10168 10537 10576 11308 13981 14542 15934 20336 20491 21074 22616 27101 27962 29084 31868 40982 42148 45232 54202 55924 58168 63736 81964 84296 87637 108404 111848 115907 116336 127472 163928 168592 169877 175274 216808 223696 225401 231814 298111 326647 327856 339754 350548 433616 450802 463628 596222 653294 679508 701096 840131 901604 927256 1192444 1306588 1359016 1402192 1680262 1803208 1854512 1868647 2384888 2613176 2718032 3360524 3593117 3606416 3737294 4769776 5226352 5266187 6721048 6964957 7186234 7474588 9241441 10532374 13442096 13929914 14372468 14949176 18482882 21064748 27859828 28744936 29898352 36965764 42129496 55719656 57489872 57928057 73931528 76614527 84258992 111439312 115856114 147863056 153229054 215913667 231712228 306458108 431827334 463424456 612916216 863654668 926848912 1225832432 1727309336 2375050337 3454618672 4750100674 9500201348 19000402696 38000805392