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193045248 = 2833112539
BaseRepresentation
bin10111000000110…
…10001100000000
3111110020201022000
423200122030000
5343404421443
631053344000
74532600064
oct1340321400
9443221260
10193045248
1199a72830
1254798000
1330cc0876
141b8d1aa4
1511e338d3
hexb81a300

193045248 has 144 divisors (see below), whose sum is σ = 623011200. Its totient is φ = 58475520.

The previous prime is 193045241. The next prime is 193045253. The reversal of 193045248 is 842540391.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (193045241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74763 + ... + 77301.

Almost surely, 2193045248 is an apocalyptic number.

193045248 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 193045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311505600).

193045248 is an abundant number, since it is smaller than the sum of its proper divisors (429965952).

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

193045248 is a wasteful number, since it uses less digits than its factorization.

193045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 193045248 is about 13894.0724051662. The cubic root of 193045248 is about 577.9448149961.

The spelling of 193045248 in words is "one hundred ninety-three million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2539 2816 3168 3456 4224 4752 5078 6336 6912 7617 8448 9504 10156 12672 15234 19008 20312 22851 25344 27929 30468 38016 40624 45702 55858 60936 68553 76032 81248 83787 91404 111716 121872 137106 162496 167574 182808 223432 243744 251361 274212 324992 335148 365616 446864 487488 502722 548424 649984 670296 731232 754083 893728 974976 1005444 1096848 1340592 1462464 1508166 1787456 1949952 2010888 2193696 2681184 2924928 3016332 3574912 4021776 4387392 5362368 5849856 6032664 7149824 8043552 8774784 10724736 12065328 16087104 17549568 21449472 24130656 32174208 48261312 64348416 96522624 193045248