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1553214152 = 237241241401
BaseRepresentation
bin101110010010100…
…0010101011001000
311000020122110021002
41130211002223020
511140110323102
6414042434132
753330050100
oct13445025310
94006573232
101553214152
11727826866
12374202948
131b9a34639
1410a3d6200
159155b902
hex5c942ac8

1553214152 has 96 divisors (see below), whose sum is σ = 3493468440. Its totient is φ = 645120000.

The previous prime is 1553214119. The next prime is 1553214199. The reversal of 1553214152 is 2514123551.

It can be written as a sum of positive squares in 4 ways, for example, as 1491967876 + 61246276 = 38626^2 + 7826^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3873152 + ... + 3873552.

Almost surely, 21553214152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1553214152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746734220).

1553214152 is an abundant number, since it is smaller than the sum of its proper divisors (1940254288).

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

1553214152 is a wasteful number, since it uses less digits than its factorization.

1553214152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its digits is 6000, while the sum is 29.

The square root of 1553214152 is about 39410.8380017477. The cubic root of 1553214152 is about 1158.0939148648.

The spelling of 1553214152 in words is "one billion, five hundred fifty-three million, two hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 241 287 328 392 401 482 574 802 964 1148 1604 1687 1928 2009 2296 2807 3208 3374 4018 5614 6748 8036 9881 11228 11809 13496 16072 16441 19649 19762 22456 23618 32882 39298 39524 47236 65764 69167 78596 79048 94472 96641 115087 131528 138334 157192 193282 230174 276668 386564 460348 484169 553336 676487 773128 805609 920696 968338 1352974 1611218 1936676 2705948 3222436 3873352 3962281 4735409 5411896 6444872 7924562 9470818 15849124 18941636 27735967 31698248 37883272 55471934 110943868 194151769 221887736 388303538 776607076 1553214152