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399248040 = 233527112277
BaseRepresentation
bin10111110011000…
…000101010101000
31000211020220100110
4113303000222220
51304201414130
6103341134320
712615360312
oct2763005250
91024226313
10399248040
11195401a64
12b185a3a0
136493a259
143b04a7b2
15250b5ab0
hex17cc0aa8

399248040 has 64 divisors (see below), whose sum is σ = 1202261760. Its totient is φ = 106064640.

The previous prime is 399248029. The next prime is 399248117. The reversal of 399248040 is 40842993.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 399248040.

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 15 ways as a sum of consecutive naturals, for example, 26382 + ... + 38658.

It is an arithmetic number, because the mean of its divisors is an integer number (18785340).

Almost surely, 2399248040 is an apocalyptic number.

399248040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399248040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601130880).

399248040 is an abundant number, since it is smaller than the sum of its proper divisors (803013720).

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

399248040 is a wasteful number, since it uses less digits than its factorization.

399248040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 399248040 is about 19981.1921566257. The cubic root of 399248040 is about 736.3443027167.

The spelling of 399248040 in words is "three hundred ninety-nine million, two hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 12277 16260 24554 32520 36831 49108 61385 73662 98216 122770 147324 184155 245540 294648 368310 491080 736620 1473240 3327067 6654134 9981201 13308268 16635335 19962402 26616536 33270670 39924804 49906005 66541340 79849608 99812010 133082680 199624020 399248040