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2942525952 = 29323120599
BaseRepresentation
bin1010111101100011…
…0110001000000000
321121001212210202200
42233120312020000
522011241312302
61203552313200
7132630025602
oct25730661000
97531783680
102942525952
11127aa85333
126a1542800
1337b810222
141dcb25172
151234de81c
hexaf636200

2942525952 has 120 divisors (see below), whose sum is σ = 8766700800. Its totient is φ = 949155840.

The previous prime is 2942525923. The next prime is 2942525981. The reversal of 2942525952 is 2595252492.

2942525952 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 52 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2942525923) and next prime (2942525981).

It is a junction number, because it is equal to n+sod(n) for n = 2942525898 and 2942525907.

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 11 ways as a sum of consecutive naturals, for example, 132549 + ... + 153147.

It is an arithmetic number, because the mean of its divisors is an integer number (73055840).

Almost surely, 22942525952 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 2942525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383350400).

2942525952 is an abundant number, since it is smaller than the sum of its proper divisors (5824174848).

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

2942525952 is a wasteful number, since it uses less digits than its factorization.

2942525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20654 (or 20635 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 2942525952 is about 54245.0546317358. The cubic root of 2942525952 is about 1432.9799062740.

The spelling of 2942525952 in words is "two billion, nine hundred forty-two million, five hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1116 1152 1488 1536 1984 2232 2304 2976 3968 4464 4608 5952 7936 8928 11904 15872 17856 20599 23808 35712 41198 47616 61797 71424 82396 123594 142848 164792 185391 247188 329584 370782 494376 638569 659168 741564 988752 1277138 1318336 1483128 1915707 1977504 2554276 2636672 2966256 3831414 3955008 5108552 5273344 5747121 5932512 7662828 7910016 10217104 10546688 11494242 11865024 15325656 15820032 20434208 22988484 23730048 30651312 31640064 40868416 45976968 47460096 61302624 81736832 91953936 94920192 122605248 163473664 183907872 245210496 326947328 367815744 490420992 735631488 980841984 1471262976 2942525952