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5078016 = 210321929
BaseRepresentation
bin10011010111110000000000
3100112222201200
4103113300000
52244444031
6300501200
761106466
oct23276000
910488650
105078016
112959209
12184a800
13108a458
14962836
156a48e6
hex4d7c00

5078016 has 132 divisors (see below), whose sum is σ = 15966600. Its totient is φ = 1548288.

The previous prime is 5078011. The next prime is 5078039. The reversal of 5078016 is 6108705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5078011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175090 + ... + 175118.

Almost surely, 25078016 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 5078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983300).

5078016 is an abundant number, since it is smaller than the sum of its proper divisors (10888584).

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

5078016 is a wasteful number, since it uses less digits than its factorization.

5078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5078016 is about 2253.4453621067. The cubic root of 5078016 is about 171.8823785703.

The spelling of 5078016 in words is "five million, seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 64 72 76 87 96 114 116 128 144 152 171 174 192 228 232 256 261 288 304 342 348 384 456 464 512 522 551 576 608 684 696 768 912 928 1024 1044 1102 1152 1216 1368 1392 1536 1653 1824 1856 2088 2204 2304 2432 2736 2784 3072 3306 3648 3712 4176 4408 4608 4864 4959 5472 5568 6612 7296 7424 8352 8816 9216 9728 9918 10944 11136 13224 14592 14848 16704 17632 19456 19836 21888 22272 26448 29184 29696 33408 35264 39672 43776 44544 52896 58368 66816 70528 79344 87552 89088 105792 133632 141056 158688 175104 211584 267264 282112 317376 423168 564224 634752 846336 1269504 1692672 2539008 5078016