Search a number
-
+
1991250828 = 2232731311231
BaseRepresentation
bin111011010110000…
…0001001110001100
312010202220000121200
41312230001032030
513034230011303
6525331225500
7100226232000
oct16654011614
95122800550
101991250828
11932011246
12476a48290
13259702c38
1414c65c700
15b9c353a3
hex76b0138c

1991250828 has 144 divisors (see below), whose sum is σ = 5919513600. Its totient is φ = 564127200.

The previous prime is 1991250803. The next prime is 1991250841. The reversal of 1991250828 is 8280521991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1616973 + ... + 1618203.

Almost surely, 21991250828 is an apocalyptic number.

1991250828 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 1991250828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959756800).

1991250828 is an abundant number, since it is smaller than the sum of its proper divisors (3928262772).

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

1991250828 is a wasteful number, since it uses less digits than its factorization.

1991250828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1991250828 is about 44623.4336195681. The cubic root of 1991250828 is about 1258.0811533571.

The spelling of 1991250828 in words is "one billion, nine hundred ninety-one million, two hundred fifty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 131 147 196 252 262 294 343 393 441 524 588 686 786 882 917 1029 1179 1231 1372 1572 1764 1834 2058 2358 2462 2751 3087 3668 3693 4116 4716 4924 5502 6174 6419 7386 8253 8617 11004 11079 12348 12838 14772 16506 17234 19257 22158 25676 25851 33012 34468 38514 44316 44933 51702 57771 60319 77028 77553 89866 103404 115542 120638 134799 155106 161261 179732 180957 231084 241276 269598 310212 322522 361914 404397 422233 483783 539196 542871 645044 723828 808794 844466 967566 1085742 1128827 1266699 1451349 1617588 1688932 1935132 2171484 2257654 2533398 2902698 3386481 3800097 4515308 5066796 5805396 6772962 7600194 7901789 10159443 13545924 15200388 15803578 20318886 23705367 31607156 40637772 47410734 55312523 71116101 94821468 110625046 142232202 165937569 221250092 284464404 331875138 497812707 663750276 995625414 1991250828