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2542303552 = 26312116073
BaseRepresentation
bin1001011110001000…
…0111100101000000
320120011210101211211
42113202013211000
520201312203202
61100134215504
7120000136465
oct22742074500
96504711754
102542303552
111095078318
125ab4b4594
13316921639
141a190366c
15ed2d51d7
hex97887940

2542303552 has 56 divisors (see below), whose sum is σ = 5233164032. Its totient is φ = 1224115200.

The previous prime is 2542303549. The next prime is 2542303567. The reversal of 2542303552 is 2553032452.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 7 ways as a sum of consecutive naturals, for example, 415588 + ... + 421660.

Almost surely, 22542303552 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 2542303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616582016).

2542303552 is an abundant number, since it is smaller than the sum of its proper divisors (2690860480).

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

2542303552 is a wasteful number, since it uses less digits than its factorization.

2542303552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 2542303552 is about 50421.2609124365. The cubic root of 2542303552 is about 1364.8213306287.

The spelling of 2542303552 in words is "two billion, five hundred forty-two million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 211 248 422 496 844 992 1688 1984 3376 6073 6541 6752 12146 13082 13504 24292 26164 48584 52328 97168 104656 188263 194336 209312 376526 388672 418624 753052 1281403 1506104 2562806 3012208 5125612 6024416 10251224 12048832 20502448 39723493 41004896 79446986 82009792 158893972 317787944 635575888 1271151776 2542303552