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190550416 = 2472172292
BaseRepresentation
bin10110101101110…
…01000110010000
3111021112222000211
423112321012100
5342240103131
630524053504
74502436400
oct1326710620
9437488024
10190550416
1198619391
1253994294
1330629134
141b442800
1511ade5b1
hexb5b9190

190550416 has 135 divisors (see below), whose sum is σ = 472490499. Its totient is φ = 74210304.

The previous prime is 190550363. The next prime is 190550453. The reversal of 190550416 is 614055091.

The square root of 190550416 is 13804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18835600 + 171714816 = 4340^2 + 13104^2 .

It is a super-2 number, since 2×1905504162 = 72618922075546112, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6570690 + ... + 6570718.

Almost surely, 2190550416 is an apocalyptic number.

190550416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

190550416 is the 13804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190550416

190550416 is an abundant number, since it is smaller than the sum of its proper divisors (281940083).

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

190550416 is a wasteful number, since it uses less digits than its factorization.

190550416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 190550416 is about 575.4443103990. Note that the first 3 decimals are identical.

The spelling of 190550416 in words is "one hundred ninety million, five hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 49 56 58 68 98 112 116 119 136 196 203 232 238 272 289 392 406 464 476 493 578 784 812 833 841 952 986 1156 1421 1624 1666 1682 1904 1972 2023 2312 2842 3248 3332 3364 3451 3944 4046 4624 5684 5887 6664 6728 6902 7888 8092 8381 11368 11774 13328 13456 13804 14161 14297 16184 16762 22736 23548 24157 27608 28322 28594 32368 33524 41209 47096 48314 55216 56644 57188 58667 67048 82418 94192 96628 100079 113288 114376 117334 134096 164836 193256 200158 226576 228752 234668 243049 329672 386512 400316 410669 469336 486098 659344 700553 800632 821338 938672 972196 1401106 1601264 1642676 1701343 1944392 2802212 3285352 3402686 3888784 5604424 6570704 6805372 11208848 11909401 13610744 23818802 27221488 47637604 95275208 190550416