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3756803442 = 237241930497
BaseRepresentation
bin1101111111101100…
…0100010101110010
3100200211002101111020
43133323010111302
530143220202232
61420441200310
7162045205500
oct33773042562
910624071436
103756803442
111658688037
1288a190096
1347b421922
14278d29670
1516ec36e2c
hexdfec4572

3756803442 has 48 divisors (see below), whose sum is σ = 8761465440. Its totient is φ = 1070775552.

The previous prime is 3756803441. The next prime is 3756803447. The reversal of 3756803442 is 2443086573.

It is a super-2 number, since 2×37568034422 = 28227144203646094728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3756803394 and 3756803403.

It is not an unprimeable number, because it can be changed into a prime (3756803441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107938 + ... + 138434.

It is an arithmetic number, because the mean of its divisors is an integer number (182530530).

Almost surely, 23756803442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3756803442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380732720).

3756803442 is an abundant number, since it is smaller than the sum of its proper divisors (5004661998).

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

3756803442 is a wasteful number, since it uses less digits than its factorization.

3756803442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30935 (or 30928 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3756803442 is about 61292.7682683691. The cubic root of 3756803442 is about 1554.5552354061. Note that the first 3 decimals are identical.

The spelling of 3756803442 in words is "three billion, seven hundred fifty-six million, eight hundred three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 419 838 1257 2514 2933 5866 8799 17598 20531 30497 41062 60994 61593 91491 123186 182982 213479 426958 640437 1280874 1494353 2988706 4483059 8966118 12778243 25556486 38334729 76669458 89447701 178895402 268343103 536686206 626133907 1252267814 1878401721 3756803442