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5157890248 = 2374383131197
BaseRepresentation
bin1001100110110111…
…10010100011001000
3111022110110222021011
410303123302203020
541030404441443
62211451253304
7241550225620
oct46333624310
914273428234
105157890248
112207549315
12bbb44a234
13642790c84
1436d041880
15202c43b9d
hex1336f28c8

5157890248 has 128 divisors (see below), whose sum is σ = 11591838720. Its totient is φ = 2106074880.

The previous prime is 5157890209. The next prime is 5157890249. The reversal of 5157890248 is 8420987515.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5157890249) 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, 26182086 + ... + 26182282.

It is an arithmetic number, because the mean of its divisors is an integer number (90561240).

Almost surely, 25157890248 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 5157890248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795919360).

5157890248 is an abundant number, since it is smaller than the sum of its proper divisors (6433948472).

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

5157890248 is a wasteful number, since it uses less digits than its factorization.

5157890248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The square root of 5157890248 is about 71818.4533946534. The cubic root of 5157890248 is about 1727.7889768958.

The spelling of 5157890248 in words is "five billion, one hundred fifty-seven million, eight hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 83 86 131 166 172 197 262 301 332 344 394 524 581 602 664 788 917 1048 1162 1204 1379 1576 1834 2324 2408 2758 3569 3668 4648 5516 5633 7138 7336 8471 10873 11032 11266 14276 16351 16942 21746 22532 24983 25807 28552 32702 33884 39431 43492 45064 49966 51614 59297 65404 67768 76111 78862 86984 99932 103228 114457 118594 130808 152222 157724 180649 199864 206456 228914 237188 304444 315448 361298 457828 467539 474376 608888 703093 722596 915656 935078 1109701 1406186 1445192 1870156 2141981 2219402 2812372 3272773 3740312 4283962 4438804 4921651 5624744 6545546 7767907 8567924 8877608 9843302 13091092 14993867 15535814 17135848 19686604 26182184 29987734 31071628 39373208 59975468 62143256 92105183 119950936 184210366 368420732 644736281 736841464 1289472562 2578945124 5157890248