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503300096 = 2141317139
BaseRepresentation
bin11101111111111…
…100000000000000
31022002001021221022
4131333330000000
52012321100341
6121535245012
715320660135
oct3577740000
91262037838
10503300096
112391108a2
12120679768
138036c210
144abb458c
152e2bae4b
hex1dffc000

503300096 has 120 divisors (see below), whose sum is σ = 1156019760. Its totient is φ = 217055232.

The previous prime is 503300059. The next prime is 503300123. The reversal of 503300096 is 690003305.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 3620795 + ... + 3620933.

It is an arithmetic number, because the mean of its divisors is an integer number (9633498).

Almost surely, 2503300096 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 503300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578009880).

503300096 is an abundant number, since it is smaller than the sum of its proper divisors (652719664).

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

503300096 is a wasteful number, since it uses less digits than its factorization.

503300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 503300096 is about 22434.3508040683. The cubic root of 503300096 is about 795.4428902291.

The spelling of 503300096 in words is "five hundred three million, three hundred thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 139 208 221 256 272 278 416 442 512 544 556 832 884 1024 1088 1112 1664 1768 1807 2048 2176 2224 2363 3328 3536 3614 4096 4352 4448 4726 6656 7072 7228 8192 8704 8896 9452 13312 14144 14456 16384 17408 17792 18904 26624 28288 28912 30719 34816 35584 37808 53248 56576 57824 61438 69632 71168 75616 106496 113152 115648 122876 139264 142336 151232 212992 226304 231296 245752 278528 284672 302464 452608 462592 491504 569344 604928 905216 925184 983008 1138688 1209856 1810432 1850368 1966016 2277376 2419712 3620864 3700736 3932032 4839424 7401472 7864064 9678848 14802944 15728128 19357696 29605888 31456256 38715392 62912512 125825024 251650048 503300096