Search a number
-
+
1050545532 = 2231729239743
BaseRepresentation
bin111110100111100…
…000110101111100
32201012210020112210
4332213200311330
54122414424112
6252124500420
735014326651
oct7647406574
92635706483
101050545532
1149a007453
122539aa710
1313985699a
149d747c28
1562367b3c
hex3e9e0d7c

1050545532 has 96 divisors (see below), whose sum is σ = 2699827200. Its totient is φ = 316460032.

The previous prime is 1050545527. The next prime is 1050545537. The reversal of 1050545532 is 2355450501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1050545527) and next prime (1050545537).

It is a super-2 number, since 2×10505455322 = 2207291829610326048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1050545532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050545537) 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, 1413553 + ... + 1414295.

It is an arithmetic number, because the mean of its divisors is an integer number (28123200).

Almost surely, 21050545532 is an apocalyptic number.

1050545532 is a gapful number since it is divisible by the number (12) 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 1050545532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

1050545532 is an abundant number, since it is smaller than the sum of its proper divisors (1649281668).

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

1050545532 is a wasteful number, since it uses less digits than its factorization.

1050545532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 1050545532 is about 32412.1201404660. The cubic root of 1050545532 is about 1016.5723507000.

The spelling of 1050545532 in words is "one billion, fifty million, five hundred forty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 239 348 478 493 717 743 956 986 1434 1479 1486 1972 2229 2868 2958 2972 4063 4458 5916 6931 8126 8916 12189 12631 13862 16252 20793 21547 24378 25262 27724 37893 41586 43094 48756 50524 64641 75786 83172 86188 117827 129282 151572 177577 235654 258564 353481 355154 366299 471308 532731 706962 710308 732598 1065462 1098897 1413924 1465196 2130924 2197794 3018809 4395588 5149733 6037618 9056427 10299466 12075236 15449199 18112854 20598932 30898398 36225708 61796796 87545461 175090922 262636383 350181844 525272766 1050545532