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198648480 = 2535557743
BaseRepresentation
bin10111101011100…
…10001010100000
3111211210101111010
423311302022200
5401323222410
631413420520
74631325042
oct1365621240
9454711433
10198648480
11a214a5a8
125663a740
13322030a4
141c54da92
151268dc20
hexbd722a0

198648480 has 96 divisors (see below), whose sum is σ = 627709824. Its totient is φ = 52806656.

The previous prime is 198648479. The next prime is 198648487. The reversal of 198648480 is 84846891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1986484802 = 78922437212620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (198648487) by changing a digit.

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, 266989 + ... + 267731.

It is an arithmetic number, because the mean of its divisors is an integer number (6538644).

Almost surely, 2198648480 is an apocalyptic number.

198648480 is a gapful number since it is divisible by the number (10) 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 198648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313854912).

198648480 is an abundant number, since it is smaller than the sum of its proper divisors (429061344).

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

198648480 is a wasteful number, since it uses less digits than its factorization.

198648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 198648480 is about 14094.2711766164. The cubic root of 198648480 is about 583.4832797295.

The spelling of 198648480 in words is "one hundred ninety-eight million, six hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 557 743 1114 1486 1671 2228 2229 2785 2972 3342 3715 4456 4458 5570 5944 6684 7430 8355 8912 8916 11140 11145 11888 13368 14860 16710 17824 17832 22280 22290 23776 26736 29720 33420 35664 44560 44580 53472 59440 66840 71328 89120 89160 118880 133680 178320 267360 356640 413851 827702 1241553 1655404 2069255 2483106 3310808 4138510 4966212 6207765 6621616 8277020 9932424 12415530 13243232 16554040 19864848 24831060 33108080 39729696 49662120 66216160 99324240 198648480