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4540369792 = 27721797439
BaseRepresentation
bin1000011101010000…
…01000101110000000
3102201102111200110011
410032220020232000
533244313313132
62030311514304
7220341335500
oct41650105600
912642450404
104540369792
111a1aa14032
12a68688994
1357486c75a
14311017a00
151b8914b47
hex10ea08b80

4540369792 has 192 divisors, whose sum is σ = 11281485600. Its totient is φ = 1808400384.

The previous prime is 4540369787. The next prime is 4540369793. The reversal of 4540369792 is 2979630454.

It is a super-2 number, since 2×45403697922 = 41229915696212246528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4540369793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10342309 + ... + 10342747.

Almost surely, 24540369792 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 4540369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640742800).

4540369792 is an abundant number, since it is smaller than the sum of its proper divisors (6741115808).

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

4540369792 is a wasteful number, since it uses less digits than its factorization.

4540369792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The square root of 4540369792 is about 67382.2661536402. The cubic root of 4540369792 is about 1655.8859015727.

It can be divided in two parts, 4540369 and 792, that added together give a square (4541161 = 21312).

The spelling of 4540369792 in words is "four billion, five hundred forty million, three hundred sixty-nine thousand, seven hundred ninety-two".