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39052416 = 273137823
BaseRepresentation
bin1001010011111…
…0010010000000
32201111001211210
42110332102000
534444134131
63513010120
7652640304
oct224762200
981431753
1039052416
1120053727
12110b3940
138124450
145287d04
153666146
hex253e480

39052416 has 64 divisors (see below), whose sum is σ = 111726720. Its totient is φ = 12014592.

The previous prime is 39052397. The next prime is 39052423. The reversal of 39052416 is 61425093.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081 + ... + 8903.

It is an arithmetic number, because the mean of its divisors is an integer number (1745730).

Almost surely, 239052416 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 39052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55863360).

39052416 is an abundant number, since it is smaller than the sum of its proper divisors (72674304).

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

39052416 is a wasteful number, since it uses less digits than its factorization.

39052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 39052416 is about 6249.1932279295. The cubic root of 39052416 is about 339.2730025619.

The spelling of 39052416 in words is "thirty-nine million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 7823 15646 23469 31292 46938 62584 93876 101699 125168 187752 203398 250336 305097 375504 406796 500672 610194 751008 813592 1001344 1220388 1502016 1627184 2440776 3004032 3254368 4881552 6508736 9763104 13017472 19526208 39052416