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147775950 = 232527431091
BaseRepresentation
bin10001100111011…
…10000111001110
3101022001210111100
420303232013032
5300312312300
622355203530
73443034450
oct1063560716
9338053440
10147775950
1176463293
12415a65a6
13248007ba
14158aa2d0
15ce90700
hex8cee1ce

147775950 has 144 divisors (see below), whose sum is σ = 464720256. Its totient is φ = 32961600.

The previous prime is 147775949. The next prime is 147775981. The reversal of 147775950 is 59577741.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 147775896 and 147775905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134905 + ... + 135995.

It is an arithmetic number, because the mean of its divisors is an integer number (3227224).

Almost surely, 2147775950 is an apocalyptic number.

147775950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147775950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232360128).

147775950 is an abundant number, since it is smaller than the sum of its proper divisors (316944306).

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

147775950 is a wasteful number, since it uses less digits than its factorization.

147775950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The square root of 147775950 is about 12156.3131746430. The cubic root of 147775950 is about 528.6901915820.

The spelling of 147775950 in words is "one hundred forty-seven million, seven hundred seventy-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 43 45 50 63 70 75 86 90 105 126 129 150 175 210 215 225 258 301 315 350 387 430 450 525 602 630 645 774 903 1050 1075 1091 1290 1505 1575 1806 1935 2150 2182 2709 3010 3150 3225 3273 3870 4515 5418 5455 6450 6546 7525 7637 9030 9675 9819 10910 13545 15050 15274 16365 19350 19638 22575 22911 27090 27275 32730 38185 45150 45822 46913 49095 54550 67725 68733 76370 81825 93826 98190 114555 135450 137466 140739 163650 190925 229110 234565 245475 281478 328391 343665 381850 422217 469130 490950 572775 656782 687330 703695 844434 985173 1145550 1172825 1407390 1641955 1718325 1970346 2111085 2345650 2955519 3283910 3436650 3518475 4222170 4925865 5911038 7036950 8209775 9851730 10555425 14777595 16419550 21110850 24629325 29555190 49258650 73887975 147775950