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5401008528 = 24317103179359
BaseRepresentation
bin1010000011110110…
…01101100110010000
3111221101221122211220
411001323031212100
542030124233103
62251534205040
7250561546356
oct50173154620
914841848756
105401008528
112321801713
121068953780
13680c64246
143934497d6
15219268c53
hex141ecd990

5401008528 has 160 divisors (see below), whose sum is σ = 15041894400. Its totient is φ = 1663961088.

The previous prime is 5401008491. The next prime is 5401008541. The reversal of 5401008528 is 8258001045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15044413 + ... + 15044771.

It is an arithmetic number, because the mean of its divisors is an integer number (94011840).

Almost surely, 25401008528 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 5401008528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520947200).

5401008528 is an abundant number, since it is smaller than the sum of its proper divisors (9640885872).

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

5401008528 is a wasteful number, since it uses less digits than its factorization.

5401008528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 5401008528 is about 73491.5541269880. The cubic root of 5401008528 is about 1754.5198566386.

It can be divided in two parts, 540100 and 8528, that added together give a triangular number (548628 = T1047).

The spelling of 5401008528 in words is "five billion, four hundred one million, eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 103 136 179 204 206 272 309 358 359 408 412 537 618 716 718 816 824 1074 1077 1236 1432 1436 1648 1751 2148 2154 2472 2864 2872 3043 3502 4296 4308 4944 5253 5744 6086 6103 7004 8592 8616 9129 10506 12172 12206 14008 17232 18258 18309 18437 21012 24344 24412 28016 36516 36618 36874 36977 42024 48688 48824 55311 64261 73032 73236 73748 73954 84048 97648 110622 110931 128522 146064 146472 147496 147908 192783 221244 221862 257044 292944 294992 295816 313429 385566 442488 443724 514088 591632 626858 628609 771132 884976 887448 940287 1028176 1092437 1253716 1257218 1542264 1774896 1880574 1885827 2184874 2507432 2514436 3084528 3277311 3761148 3771654 4369748 5014864 5028872 6554622 6618883 7522296 7543308 8739496 10057744 13109244 13237766 15044592 15086616 17478992 19856649 26218488 26475532 30173232 39713298 52436976 52951064 79426596 105902128 112521011 158853192 225042022 317706384 337563033 450084044 675126066 900168088 1350252132 1800336176 2700504264 5401008528