Search a number
-
+
49075544952 = 2333732457371
BaseRepresentation
bin101101101101001000…
…010110001101111000
311200200011021222201000
4231231020112031320
51301001314414302
634313415125000
73355065151350
oct555510261570
9150604258630
1049075544952
11198a3958315
129617373760
1348213931c5
142537a49b60
15142363731c
hexb6d216378

49075544952 has 64 divisors (see below), whose sum is σ = 155795385600. Its totient is φ = 14021583840.

The previous prime is 49075544939. The next prime is 49075545019. The reversal of 49075544952 is 25944557094.

It is a happy number.

49075544952 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 5 + 544 + 95 + 2 = 666.

49075544952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×490755449522 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16227174 + ... + 16230197.

It is an arithmetic number, because the mean of its divisors is an integer number (2434302900).

Almost surely, 249075544952 is an apocalyptic number.

49075544952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

49075544952 is an abundant number, since it is smaller than the sum of its proper divisors (106719840648).

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

49075544952 is a wasteful number, since it uses less digits than its factorization.

49075544952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32457393 (or 32457383 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 49075544952 in words is "forty-nine billion, seventy-five million, five hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 32457371 64914742 97372113 129829484 194744226 227201597 259658968 292116339 389488452 454403194 584232678 681604791 778976904 876349017 908806388 1168465356 1363209582 1752698034 1817612776 2044814373 2336930712 2726419164 3505396068 4089628746 5452838328 6134443119 7010792136 8179257492 12268886238 16358514984 24537772476 49075544952