Search a number
-
+
1011051552 = 25378318127
BaseRepresentation
bin111100010000110…
…110110000100000
32121110110201222210
4330100312300200
54032312122202
6244154202120
734024540110
oct7420666040
92543421883
101011051552
11479791aa5
12242723340
13131609574
14983c7040
155db65c6c
hex3c436c20

1011051552 has 96 divisors (see below), whose sum is σ = 3069868032. Its totient is φ = 285375744.

The previous prime is 1011051527. The next prime is 1011051589. The reversal of 1011051552 is 2551501101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46713 + ... + 64839.

It is an arithmetic number, because the mean of its divisors is an integer number (31977792).

Almost surely, 21011051552 is an apocalyptic number.

1011051552 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 1011051552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534934016).

1011051552 is an abundant number, since it is smaller than the sum of its proper divisors (2058816480).

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

1011051552 is a wasteful number, since it uses less digits than its factorization.

1011051552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18230 (or 18222 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 21.

The square root of 1011051552 is about 31797.0368430771. The cubic root of 1011051552 is about 1003.6703626230.

Adding to 1011051552 its reverse (2551501101), we get a palindrome (3562552653).

The spelling of 1011051552 in words is "one billion, eleven million, fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3984 4648 6972 7968 9296 13944 18127 18592 27888 36254 54381 55776 72508 108762 126889 145016 217524 253778 290032 380667 435048 507556 580064 761334 870096 1015112 1504541 1522668 1740192 2030224 3009082 3045336 4060448 4513623 6018164 6090672 9027246 10531787 12036328 12181344 18054492 21063574 24072656 31595361 36108984 42127148 48145312 63190722 72217968 84254296 126381444 144435936 168508592 252762888 337017184 505525776 1011051552