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190563828 = 2237131091601
BaseRepresentation
bin10110101101111…
…00010111110100
3111021120122102120
423112330113310
5342241020303
630524235540
74502523450
oct1326742764
9437518376
10190563828
1198628474
125399bbb0
1330632280
141b447660
1511ae3553
hexb5bc5f4

190563828 has 96 divisors (see below), whose sum is σ = 552625920. Its totient is φ = 49766400.

The previous prime is 190563823. The next prime is 190563839. The reversal of 190563828 is 828365091.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 190563828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190563823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118228 + ... + 119828.

It is an arithmetic number, because the mean of its divisors is an integer number (5756520).

Almost surely, 2190563828 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 190563828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276312960).

190563828 is an abundant number, since it is smaller than the sum of its proper divisors (362062092).

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

190563828 is a wasteful number, since it uses less digits than its factorization.

190563828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 190563828 is about 13804.4857926690. The cubic root of 190563828 is about 575.4578110746.

The spelling of 190563828 in words is "one hundred ninety million, five hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 109 156 182 218 273 327 364 436 546 654 763 1092 1308 1417 1526 1601 2289 2834 3052 3202 4251 4578 4803 5668 6404 8502 9156 9606 9919 11207 17004 19212 19838 20813 22414 29757 33621 39676 41626 44828 59514 62439 67242 83252 119028 124878 134484 145691 174509 249756 291382 349018 437073 523527 582764 698036 874146 1047054 1221563 1748292 2094108 2268617 2443126 3664689 4537234 4886252 6805851 7329378 9074468 13611702 14658756 15880319 27223404 31760638 47640957 63521276 95281914 190563828