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46428536 = 237112329113
BaseRepresentation
bin1011000100011…
…1000101111000
310020100210222102
42301013011320
543341203121
64335042532
71102431110
oct261070570
9106323872
1046428536
11242314a0
1213670448
13980790b
146248040
15412190b
hex2c47178

46428536 has 128 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 16558080.

The previous prime is 46428493. The next prime is 46428539. The reversal of 46428536 is 63582464.

46428536 is a modest number, since divided by 28536 gives 464 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 46428536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46428539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410816 + ... + 410928.

It is an arithmetic number, because the mean of its divisors is an integer number (923400).

Almost surely, 246428536 is an apocalyptic number.

46428536 is a gapful number since it is divisible by the number (46) 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 46428536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

46428536 is an abundant number, since it is smaller than the sum of its proper divisors (71766664).

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

46428536 is a wasteful number, since it uses less digits than its factorization.

46428536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 46428536 is about 6813.8488389456. The cubic root of 46428536 is about 359.4140055054.

It can be divided in two parts, 46428 and 536, that added together give a palindrome (46964).

The spelling of 46428536 in words is "forty-six million, four hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 29 44 46 56 58 77 88 92 113 116 154 161 184 203 226 232 253 308 319 322 406 452 506 616 638 644 667 791 812 904 1012 1243 1276 1288 1334 1582 1624 1771 2024 2233 2486 2552 2599 2668 3164 3277 3542 4466 4669 4972 5198 5336 6328 6554 7084 7337 8701 8932 9338 9944 10396 13108 14168 14674 17402 17864 18193 18676 20792 22939 26216 28589 29348 34804 36047 36386 37352 45878 51359 57178 58696 69608 72094 72772 75371 91756 102718 114356 144188 145544 150742 183512 200123 205436 228712 252329 288376 301484 400246 410872 504658 527597 602968 800492 829081 1009316 1055194 1600984 1658162 2018632 2110388 3316324 4220776 5803567 6632648 11607134 23214268 46428536