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55983150 = 2345223601
BaseRepresentation
bin1101010110001…
…1110000101110
310220100020110000
43111203300232
5103312430100
65315525130
71246564116
oct325436056
9126306400
1055983150
1129667a73
12168b97a6
13b7a1832
147614046
154dac900
hex3563c2e

55983150 has 120 divisors (see below), whose sum is σ = 162583344. Its totient is φ = 14256000.

The previous prime is 55983133. The next prime is 55983167. The reversal of 55983150 is 5138955.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55983133) and next prime (55983167).

It is a super-2 number, since 2×559831502 = 6268226167845000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92850 + ... + 93450.

Almost surely, 255983150 is an apocalyptic number.

55983150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55983150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81291672).

55983150 is an abundant number, since it is smaller than the sum of its proper divisors (106600194).

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

55983150 is a wasteful number, since it uses less digits than its factorization.

55983150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 55983150 is about 7482.1888508644. The cubic root of 55983150 is about 382.5478602166.

The spelling of 55983150 in words is "fifty-five million, nine hundred eighty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 81 90 115 135 138 150 162 207 225 230 270 345 405 414 450 575 601 621 675 690 810 1035 1150 1202 1242 1350 1725 1803 1863 2025 2070 3005 3105 3450 3606 3726 4050 5175 5409 6010 6210 9015 9315 10350 10818 13823 15025 15525 16227 18030 18630 27045 27646 30050 31050 32454 41469 45075 46575 48681 54090 69115 81135 82938 90150 93150 97362 124407 135225 138230 162270 207345 243405 248814 270450 345575 373221 405675 414690 486810 622035 691150 746442 811350 1036725 1119663 1217025 1244070 1866105 2073450 2239326 2434050 3110175 3732210 5598315 6220350 9330525 11196630 18661050 27991575 55983150