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190788048 = 2436111487
BaseRepresentation
bin10110101111100…
…11000111010000
3111022000001000000
423113303013100
5342320204143
630533130000
74504446243
oct1327630720
9438001000
10190788048
1198770980
1253a89900
13306b0349
141b4a525a
1511b39bd3
hexb5f31d0

190788048 has 140 divisors (see below), whose sum is σ = 605014848. Its totient is φ = 57775680.

The previous prime is 190788029. The next prime is 190788079. The reversal of 190788048 is 840887091.

It is a junction number, because it is equal to n+sod(n) for n = 190787994 and 190788012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 127561 + ... + 129047.

Almost surely, 2190788048 is an apocalyptic number.

190788048 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 190788048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302507424).

190788048 is an abundant number, since it is smaller than the sum of its proper divisors (414226800).

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

190788048 is a wasteful number, since it uses less digits than its factorization.

190788048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 190788048 is about 13812.6046783364. The cubic root of 190788048 is about 575.6834197836.

The spelling of 190788048 in words is "one hundred ninety million, seven hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1487 1584 1782 1944 2376 2673 2916 2974 3564 3888 4461 4752 5346 5832 5948 7128 8019 8922 10692 11664 11896 13383 14256 16038 16357 17844 21384 23792 26766 32076 32714 35688 40149 42768 49071 53532 64152 65428 71376 80298 98142 107064 120447 128304 130856 147213 160596 196284 214128 240894 261712 294426 321192 361341 392568 441639 481788 588852 642384 722682 785136 883278 963576 1084023 1177704 1324917 1445364 1766556 1927152 2168046 2355408 2649834 2890728 3533112 3974751 4336092 5299668 5781456 7066224 7949502 8672184 10599336 11924253 15899004 17344368 21198672 23848506 31798008 47697012 63596016 95394024 190788048